{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import re\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "from statsmodels.api import tsa\n",
    "from dateutil.parser import parse\n",
    "\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import mean_absolute_error\n",
    "\n",
    "def parse_quarter(string):\n",
    "    \"\"\"\n",
    "    Converts a string from the format YYYYQN in datetime object at the end of quarter N.\n",
    "    \"\"\"\n",
    "    \n",
    "    # Note: you could also just retrieve the first four elements of the string\n",
    "    # and the last one... Regex is fun but often not necessary\n",
    "    year, qn = re.search(r'^(20[0-9][0-9])(Q[1-4])$', string).group(1, 2)\n",
    "    \n",
    "    # year and qn will be strings, pd.datetime expects integers.\n",
    "    year = int(year)\n",
    "    \n",
    "    date = None\n",
    "    \n",
    "    if qn=='Q1':\n",
    "        date = pd.datetime(year, 3, 31)\n",
    "    elif qn=='Q2':\n",
    "        date = pd.datetime(year, 6, 30)\n",
    "    elif qn=='Q3':\n",
    "        date = pd.datetime(year, 9, 20)\n",
    "    else:\n",
    "        date = pd.datetime(year, 12, 31)\n",
    "        \n",
    "    return date\n",
    "\n",
    "\n",
    "alcohol_consumption = pd.read_csv('data/NZAlcoholConsumption.csv', \n",
    "                                  parse_dates=['DATE'], \n",
    "                                  date_parser=parse_quarter,\n",
    "                                  index_col='DATE')\n",
    "alcohol_consumption.sort_index(inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Modelling and Forecasting Time Series\n",
    "## Getting a stationary time series\n",
    "\n",
    "In the previous notebook, you had seen that differencing with a lag of 4 made sense. \n",
    "\n",
    "Let's do that, does the resulting series look stationary?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "wine = alcohol_consumption.TotalWine\n",
    "wine_diff = wine.diff(4).dropna()\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(wine_diff, \"-o\")\n",
    "plt.title(\"Does this look stationary ?\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It looks stationary enough. Let's call the result `time_series`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "time_series = wine_diff"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Autoregression model\n",
    "\n",
    "In an autoregression model, values are modelled as a linear combination of the $p$ past values. An autoregressive model of order $p$, that is usually indicated as $AR(p)$ model, can be written as:\n",
    "\n",
    "$$\n",
    "y_{t} = c + (\\phi_{1}y_{t-1} + \\phi_{2}y_{t-2} + \\dots + \\phi_{p}y_{t-p}) + e_{t},\n",
    "$$\n",
    "\n",
    "where\n",
    "\n",
    "* `c` is the mean of the time-series\n",
    "* `e_t` is the noise\n",
    "\n",
    "The library `statsmodels` contains a `tsa` module which implements the autoregressive model.\n",
    "\n",
    "**Task**:\n",
    "\n",
    "* Define an `AR` model using `tsa.AR` \n",
    "* select the order using the `select_order` method. You will need to specify a maximum `p` to consider and a criterion for deciding which model is \"best\" \n",
    "  * AIC and BIC are common parameters which encourage \"good fit\" while penalising having too many parameters (complex model). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "p: 5\n"
     ]
    }
   ],
   "source": [
    "#com+ add your code here\n",
    "ar_model = tsa.AR(time_series)\n",
    "optlag = ar_model.select_order(10, ic=\"aic\")\n",
    "print(\"p: \" + str(optlag))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Having a look at the AR model\n",
    "\n",
    "Let's see if the AR(p) does a good job compared to the original time series. \n",
    "\n",
    "* use the `fit` method specifying the optimal lag found above\n",
    "* use the `predict` method to generate values starting at the optimal lag\n",
    "* plot the predicted results and the data, how does it look?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#com+ your code here \n",
    "ar_result = ar_model.fit(maxlag=optlag)\n",
    "predictions_tsa = ar_result.predict(start=optlag)\n",
    "\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(time_series, '-o', label='true')\n",
    "plt.plot(predictions_tsa, '-o', label='model_tsa')\n",
    "plt.gca().axhline(time_series.mean(), color=\"red\")\n",
    "plt.legend(fontsize=12);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As for the linear regression, we may want to look at the \"size\" of the residuals. For example you could display the Mean Absolute Error (MAE) using `mean_absolute_error` and feeding the original time series from `optlag` onwards and compare it with the prediction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE = 0.131\n"
     ]
    }
   ],
   "source": [
    "#com+ add your code here to show the MAE\n",
    "print('MAE = {0:.3f}'.format(mean_absolute_error(time_series[optlag:], predictions_tsa)))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Autoregression with Sklearn\n",
    "\n",
    "Autoregression can also be implemented using `sklearn`. However, it doesn't provide direct support to handle time series, which means that you have to reorganise the data before estimating the model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/ipykernel_launcher.py:12: FutureWarning: Series.strides is deprecated and will be removed in a future version\n",
      "  if sys.path[0] == '':\n"
     ]
    }
   ],
   "source": [
    "def organize_data(to_forecast, window, horizon=1):\n",
    "    \"\"\"\n",
    "     Input:\n",
    "      to_forecast, univariate time series organised as numpy array\n",
    "      window, number of observations to use in a forecast window\n",
    "      horizon, horizon of the forecast\n",
    "     Output:\n",
    "      X, a matrix where each row contains a forecast window\n",
    "      y, the target values for each row of X\n",
    "    \"\"\"\n",
    "    shape = to_forecast.shape[:-1] + (to_forecast.shape[-1] - window + 1, window)\n",
    "    strides = to_forecast.strides + (to_forecast.strides[-1],)\n",
    "    X = np.lib.stride_tricks.as_strided(to_forecast,\n",
    "                                        shape=shape,\n",
    "                                        strides=strides)\n",
    "    y = np.array([X[i+horizon][-1] for i in range(len(X)-horizon)])\n",
    "    return X[:-horizon], y\n",
    "\n",
    "\n",
    "X, y = organize_data(time_series, optlag)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now fit an autoregressive model which simply corresponds to a `LinearRegression` now:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#com+ add your code here to fit a linear regression and show the results\n",
    "lr = LinearRegression()\n",
    "lr.fit(X, y)\n",
    "predictions_lr = lr.predict(X)\n",
    "\n",
    "predictions_lr = pd.Series(predictions_lr, index=predictions_tsa.index)\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(time_series, '-o', label='true')\n",
    "plt.plot(predictions_tsa, '-o', label='model_tsa')\n",
    "plt.plot(predictions_lr, '-o', label='model_lr')\n",
    "plt.gca().axhline(time_series.mean(), color=\"red\")\n",
    "plt.legend(fontsize=12);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The results are the same, yay!\n",
    "\n",
    "***TIP***: Now that you know how to implement autoregression with sklearn, you're also able to create custom autoregressive models using other regressors implemented in sklearn."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random Forest Regressor vs Linear Regression Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/sklearn/ensemble/forest.py:246: FutureWarning: The default value of n_estimators will change from 10 in version 0.20 to 100 in 0.22.\n",
      "  \"10 in version 0.20 to 100 in 0.22.\", FutureWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor\n",
    "rf = RandomForestRegressor()\n",
    "rf.fit(X,y)\n",
    "predictions_rf = rf.predict(X)\n",
    "predictions_rf = pd.Series(predictions_rf, index=predictions_tsa.index)\n",
    "\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(time_series, '-o', label='true')\n",
    "plt.plot(predictions_lr, '-o', label='model_lr')\n",
    "plt.plot(predictions_rf, '-o', label='model_rf')\n",
    "plt.legend(fontsize=12);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ARMA model\n",
    "\n",
    "AR models a point in the time series as a linear model of the previous values. The mismatch $e_t$ is assumed to be \"noise\".\n",
    "However there could still be information in the series of $e_t$! How about we add the past errors as additionnal features?\n",
    "\n",
    "This leads to the **ARMA** model with an autoregressive part that you will recognise and a part that corresponds to a moving average:\n",
    "\n",
    "$$\n",
    "y_{t} = c + \\underbrace{ \\phi_{1}y_{t-1} + \\phi_{2}y_{t-2} + \\dots + \\phi_{p}y_{t-p} }_{AR(p)} + \\underbrace{ \\theta_{1}e_{t-1} + \\theta_{2}e_{t-2} + \\dots + \\theta_{q}e_{t-q} }_{MA(q)} +e_{t},\n",
    "$$\n",
    "\n",
    "ARMA models are also implemented in `statsmodels` and their implementation is consistent with the one of AR models. \n",
    "\n",
    "* Create an ARMA model with `tsa.ARMA`, specify $p=3$ and $q=3$\n",
    "* Fit and predict\n",
    "* Display\n",
    "\n",
    "Since the result will look almost identical to just using AR, you will want to show the MAE as well. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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VpEmTCAgIaPDv2Wefbe+htQpPlKPbAPRUSiUBGcDVwDX19lmAPtP8rlIqAugFHPTAuYUQQogOL6eoAk2DKAcVNQC6BftgMigJnMUZZ8mSJe09hDbV4hlnTdMswCxgGbALmK9p2g6l1FNKqanVuy0DTiqldgLfA7M1TTvZ0nMLIYQQZwJnNZztTEYDMaG+EjgL0cF5pAGKpmnfAN/U2/ZYrf9rwAPV/4QQQojflGwnXQNri5dazh2OpmktqjMsOhZP1HeWlttCCCFEK8sqaDpwjpNazh2Kj48PJ0+ebNVmGqLtaJrGyZMn8fFx/jfoCmm5LYQQQrSy7KIKzEZFuL+X033iw/zIK62isLyKIB9zG45OOBIbG0t6ejo5OTntPRThIT4+PsTGxrboGBI4CyGEEK0su6CcLoE+GAzOb/vXLknXLzq4rYYmnDCbzSQlJbX3MEQHI6kaQgghRCvLKix3WlHDTmo5C9HxSeAshBBCtLKsRtpt20ktZyE6PgmchRBCiFZ2orCiycA52NdMsK9ZAmchOjAJnIUQQohWVFxhobjCQlcnXQNriw/z4+ipsjYYlRCiOSRwFkIIIVqRvRSds+YntUktZyE6NgmchRBCiFZkb37SpYnFgaDnOafnlWK1Se1gIToiCZyFEEKIVtRUu+3a4sP8qLJqZFU/RwjRsUjgLIQQQrSiLBfabdvZS9IdPSnpGkJ0RBI4CyGEEK0ou6CcQG8T/t5N9xyTWs5CdGwSOAshhBCtKLuwgigXKmoAdAvxwWhQUpJOiA5KAmchhBCiFWUVlruU3wxgNhqIDvHhWJ4EzkJ0RBI4CyGEEK0o24WugbXptZwlcBaiI5LAWQghhGglVpvGiaIKolwoRWcntZyF6LgkcBZCCCFaycmSCqw2zaWugXZxYX7kFldSUmFpxZEJIZpDAmchhBCilWQXVACulaKziwutrqwhec5CdDgSOAshhBCtJMuN5id2UstZiI5LAmchhBCilbjT/MSuJnCWPGchOhwJnIUQQohWcqKwHIOCiAAvl58T4mcm0NskCwSF6IA8EjgrpS5SSu1RSu1XSj3cyH5XKKU0pVSqJ84rhBBCdGRZBeVEBnpjMrr+dquUIk5K0gnRIbU4cFZKGYHXgElAX2CmUqqvg/0CgXuAdS09pxBCCHEmyHKzhrOd1HIWomPyxIzzMGC/pmkHNU2rBOYBlzrY72ngeaDcA+cUQgghOrwThRXNC5zD/TiWV4bNprXCqIQrFqRlMGrOSpIeXsyoOStZkJbR3kMSHYAnAucY4Fitz9Ort9VQSqUAcZqmfd3YgZRStyulNiqlNubk5HhgaEIIIUT7cafddm1xYX5UWmycKKpohVGJpixIy+CRL7aRkV+GBmTkl/HIF9skeBYeCZyVg201l8hKKQPwIvCHpg6kadobmqalapqWGhkZ6YGhCSGEEO2jvMpKQVmVW81P7KSyRvuau2wPZVXWOtvKqqzMXbannUYkOgqTB46RDsTV+jwWyKz1eSDQH1illALoCnyllJqqadpGD5xfNGJBWgZzl+0hM7+M6BBfZk9MZlpKTNNPFEII0SJZBXpmYpdA19tt29UOnIclhXl0XKJpmfllbm0Xvx2emHHeAPRUSiUppbyAq4Gv7A9qmlagaVqEpmmJmqYlAr8AEjS3AbnVJIQQ7Sfb3vykGTPOMSG+KCUzzu0lOsTXre3it6PFgbOmaRZgFrAM2AXM1zRth1LqKaXU1JYeXzSf3GoSQoj205yugXZeJgPRwb5Sy7mdzJ6YjJexbiaqr9nI7InJ7TQi0VF4IlUDTdO+Ab6pt+0xJ/uO98Q5RdPkVpMQQrQf+4xzl2YEzgBxYb4y49xOpqXE8M5PB9mWXogGBPuaeHJqf0l1FNI5sDOTW01CCNF+sgoq8DUbCfJp3hxVZ6/l3JHLvRWWV7E7q5gbRiYS6G3i0kExEjQLQALnTm32xGTMcqtJCCHaRXZROV2DfaheGO+2+DA/cooqKKu0Nr3zGaajr8FZui2LSouNaSkxxIf7ceRk572AEe6RwLkTm5YSw4ju4TWf+5oN/G36ALlqFkKINpBdUE5UkPsVNeziqitrHMtro6Bt63x4sT88EaJ/3Dq/1U7V0dfgfJmWQVKEP2fHBpMQ3rln/oV7JHDu5MqqrAyOD+HKIbF4mYxMHtitvYckhBC/Cc1tt21XU5KuLWY7t86HRfdAwTFA0z8uuqfVgueOvAYnq6CcXw6d5NJB0SiliA/zJz2vFKt0cRRI4NypWW0aOzILGRATzPjkLhSUVbElPb+9hyWEEJ2epmmcKKxoVkUNuzZtgrLiKaiqF7RWlenbW0FHXoPz1ZYMNA2mDdLvziaE+1Fl1TpEUC/anwTOndih3GJKK630jwlm9FkRGBSs3iOtzIUQorXllVZRabW1aMY5zN8Lfy9j2wTOBenubW+h2ROT8TUb62zrKGtwFqRlcnZcCIkR/gAkSBdHUYsEzp3YtowCAAbEBhPsZ2ZwfCir9krgLIQQrc3eNbA5zU/slFLEhfmR3hY5zoFdHW8Pjm2V001LieHZy/pjXzZpUPDsZe1f7m1vdhE7jxcybVB0zbb4cD1wlgWCAiRw7tS2pRfiYzZwVmQAAON6RbI1vYDc4op2HpkQQnRu9hrOLVkcCG1Ukq6iCIfhgNkXznfYksEjRp4VgQYkRwVi02BIQvu3Fl+QloHRoJg88HTg3C3YF7NRceRUSTuOTHQUEjh3YtszCujTLQiTUf8xj0/uAsAP+2TWWQghWtPpwLn5M85wOnDWtFZamGazwRe3Q3EWjLofguP07UYvmPIyDJzROucFDubogeiMofo51x8+1WrncoXNprFwcyajz4ogMvD0BY/RoIgL9WubRZqiw5PAuZOy2TR2ZBYwICa4Zlu/6CAiArxYJXnOQgjRquzttrsEtjBwDvejvMpGTmvdKVz5NOz5Bi6aAxc8Afdvh6G3gskHBlzZOuesdihXD5wv7BtFsK+ZDYdaIXB2o8TepqN5ZOSXMS0lusFjUstZ2Eng3EkdzC2hpHphoJ3BoBjbM5I1e3OkrI4QQrSi7MJywv298DK17G02LrS6lnNrpGtsnQ8//gOG3ATDbju9PSIZKgqhONvz56zlUG4x3iYDMSG+DE0MZcMRDwfObpbY+zItA1+zkQv7Nsz3TmjtmX9xxpDAuZPabl8YWCtwBhiXHEleaVXNwkEhhBCel11Y0eI0DTjdBMXjec7pG2HhLEgcAxfPhdrdDSN66h9zWrcZyaHcEhLD/TEYFKmJYRzMKfHsGhw3SuxVWmx8s+04F/aLwt+7YYv0+HB/iissnCqp9Nz4xBlJAudOaltGAd4mAz27BNTZPqZnJErK0gkhRKvKKihvUUUNu9hQva7x0ZMerCFckAHzroGgbjDjf2A01308srokXO5ez53TgYO5JSRVl3wbmqgvDNzoyTxnN0rsrd6bQ35pVU3t5vrsJemOSEm63zwJnDupbekF9I0+vTDQLszfi4GxIazae6KdRiaEEJ1fdgu7Btr5mI10DfLx3IxzZSnMm6l/nDkP/BxUsgjsBl6BkLvPM+d0wGK1cfRkKUmReuA8ICYYH7OB9YfyPHcSZ6X0HGxfsDmDMH8vRveMcPiUhPA27OIoOjQJnDshRwsDaxvfK5Itx/LJk1tOQgjhcRUWKydLKltcis4uPszPMznOmgYL7oTjW+GKt6FLH8f7KaWna+S2XqpGel4ZFptWM+PsZTIwKC6EDZ6ccT7/MTDV60Ro8mlQYq+ovIrlO7OZPLAbZqPjsMieMiMLBIUEzp2Qo4WBtY1PjsSmwQ/7c9t4ZEII0fnlFOl5ui1pt11bnKdqOa9+HnYugAuegl4TG983olerzjgfOqlX1OheHTgDDEsMY0dmAcUVFs+cZOAMGHx93W3dxzcosbd0exYVFhuXOknTgNMz/1LLWUjg3Ak5WxhoNzA2hFA/s+Q5CyFEK6ip4eyBHGfQZ5yzCsspr7K6/+SacmzBsOpZiBsBI+9u+nkRPaEwo7o5iucdqq7hnFQrcE5NDMOmQdpRD6ZrlOSCfyQ8dgr6TIFj66GqvM4uCzdnEh/mx+D4kEYPFR8utZyFBM6dkrOFgXZGg2JMz0hW783B5oGydAvSMhg1ZyVJDy9m1JyVLEjLaPExhRDua7O/RTdq4/4WZRV4dsY5PlxPN0jPc3OBYJ1ybPbBbYZtnzb93JoFgq0z63wot4QgHxNh/l412wYnhGJQeK6ec1U57PsWel8CBiMMux3KTsGOL2p2OVFYzs8Hcpk2KBpVu7KIAwlhfrI4UEjg3Bltq9cx0JFxvSLJLa5g5/HCFp1rQVoGj3yxjYz8MjQgI7+MR77YJsGzEG2szf4W3ayN+1uU5aGugXbxYc2s5exGObYGInrpH1upssah3BKSIgPqBKsB3ib6RQd7roPggZVQWQx9puqfJ46ByN6w7j96vjfw1ZZMbBpcmuI8TcMuIdyPnKIKSis9lEoizkgSOHcyNpvGzsxCp2kadmN7RQJ6CZ6WmLtsD2X1bh+WVVmZu6x1638KIepqs7/FlgRjvxEnCsvxMhkI9TM3vbMLml3L2Y1ybA2EdQeDqXUD5+pKFbUNTQwj7Wg+lRZby0+y6yvwCYGksfrnSumNXo5v1utYo1fTGBATTI9Ix3doa4sP19NKjp3yYGlAccaRwLmTOXSyhOIKS5OBc2SgN/1jgli1p2Vl6TLzHb+AONsuhGgdbfa32JJg7Dciq7CcqCDvJm/9uyoywBsfs8G9wLmypGF9ZjtnZdpqM5ohNKlVmqCUV1nJyC8jKaJhsDosKZQKi63lTboslbD7G0i+uO73YeDV4B0E699g/4litmcUMs2F2WaoVcv5pCwQ/C3zSOCslLpIKbVHKbVfKfWwg8cfUErtVEptVUqtUEoleOK8oiH7wkBnFTVqG9+rC78ezaegrKrZ54sO8XW43WhQNWMRokPqRHm6FRar09bOEYGeKYlWw43auL9VWQXlRAV6Jk0DQClFvDuVNSyV8Ml1YK3EaqgbPFuMDcuxORWZ3Co5zoerA097DefaUqsbobS4LN2hNVBRAH2n1t3uHQCDroEdX/Ld+q0YFEw5u5tLh6yp5dzOec6yrqh9tThwVkoZgdeASUBfYKZSqm+93dKAVE3TBgKfAc+39LzCsW3pBXiZDPSMavq207jkSKw2jZ9aUJbu1jFJDbZ5GQ34eRmY9tpPvLxiHxarB265CeFJnShP12K1ce/Hm6mw2DAb685wKqCwrNKj3dg29LibCq1uS+IqzciGHi5UaviNOFFU0XhFjWZctLlcy9lmhS9vhwMr+XXQ0zxkuYN0WwQ2TZFui+DhqltZYB3l2hcS0RNOHQRr8ydXHDmc27AUXc0pA7zpHuHf8t/ZXQvBKwC6n9vwsaG3gq0K05b3GXVWBF1cvMgJ8fMiyMfUrrWcZV1R+/PEjPMwYL+maQc1TasE5gGX1t5B07TvNU2z/6b9AvxmpyZa+0rRvjDQWRH32lLiQgj0MbWoLF16XhkK9NuSQEyIL89fMZA1fzyPiwd04x/f7eXyf6/lQE5xs88hhMd1kjxdm01j9mdbWboji79M7svcK84mJsS35m/xsSl9iQ7x4/q317OmhesZ7O7b2ZO9WgxWTWHToEzzwgY8s8NBB7rfIE3T9HbbzhYGNvOizV7LWdMaqYSkabD4D7DjS7jgae7e3Z/PKkcyuvJluld8yOjKl/mscqTree8RvcBWBXmHXdvfRQerA+dEB4Ez6HnOGw7nNb/qk9UCuxfrtarNDn4OET0piB7D5MqlTBvYxa1DJ4T7t2tljbnL9nCBdTU/et3DQe9r+NHrHi6wrm7VdUUyw12XJwLnGKBWrRvSq7c5cwuwxNEDSqnblVIblVIbc3I6X43h1r5S1DsGFjLQhTQNAJPRwJieEazem9P4i7ETBWVVzFt/lEsHRbPuTxM4NOcSfnr4PKalxBDi58XLM1N49ZoUjpws4eJ//sB/fzrU8IWwrW6Xd6Lb8sIDOkGerqZp/GXhdr5My+DBC3txy+gkpqXE8NPD59X8Ld40Kon5d4wgMcKfW97bwJJtx1t83sr84/RRx3jDOpnuFR9xYeX60XfHAAAgAElEQVRzgOKG0ndbfOzOoLDcQlmV1Xng3MyLtvgwP0or9Y6ETq18Bjb9F0bfjzbybjJamvceYS9J59kFgodySugS6E2At8nh40OTwigoq2LfiWZOuBz9GUpPnq6m4cAi78l0U6e42PyrW4fWazm3X45zauF3zDG/RawhF4OCWEMuc8xvkVr4XaucT2a4G/JE4Oxo9YPDKEwpdR2QCsx19LimaW9ompaqaVpqZGSkB4bWsbT2qndXFwbWNr5XF7IKy9mT7X6R+w/XHaGk0srtY3s43WfywGi+vW8sI3uE8+SinVz39rrTL+Ztdbu8E92WbwmZNajFx8nfyBmSp6tpGs9+s4sP1x3lzvE9uOvcs5zuGxnozbzbhjMgJpi7PvqVTzcec7pvU+dcuDmDy0w/YlI2PrWOA+CYFsXb1ouZbvyxplLBb5m9+UkXZ+22m3nRFt9UZY21r8EPf4fBN7C9931c+9Y6p8dytjalgYjq3ysPLxA8lFtSp/FJfcOq85ybXZZu51d6q+2eFzh8uMpq46UjieSau+Gb9o5bh04I89PbhbdTCuIjXp/ip+pePPmpSh7xcqE2dzNI5ayGPBE4pwNxtT6PBTLr76SUmgA8CkzVNK3CA+c947T2qnd3FgbajUvWL1BWuZmuUWGx8t+fDjOmZwR9o4Ma3bdLkA/v3DiUv00fwJZj+Vz04ho+25SO1la3yzvJbfmWOFNmDdokuD/8I5QXgDLW3W40u75oqp39c8U+3vzhEDeMSOCPE5ObrN4Q7Gfmg1vPYdRZEcz+bCvv/HjIrfNtTc/nin+v5d55acw0r+FXrScHteiax99W0yn3joClD9fUx/2tsgfOTmecnV2cGc2Q43xmt9Fazps/hmV/ouysS/hD2Q1Mee0ndh0vZHpKND7mum/zvmYjsycmN/2FgH6BGdjN4wsED+WW0N3BwkC7uDBfooK8m9cIxWaDXYvgrPPBy/E5ftiXQ26plVN9fgdHfoTsHS4fPiHcD4tN43hBedM7e1p5AVE4fq+OovlrlRojlbMa8kTgvAHoqZRKUkp5AVcDX9XeQSmVAvwHPWhuWf2zM5izq3yXr/6b4M7CQLuoIB96dw10O895YVomOUUV3D62u0v7K6WYOSyeJfeOpU+3IB78dEvb3S7vBLflW+pMmDVoTnDvdqBdkAGf3gjhPWDyixAcBygweoHJT2/J28QY23vW/o01B3hp+T6uGBLL41P6uVzyzM/LxFs3pHJRv6489fVO/rl8X5MpWieKypn96RamvvoTR06W8NZ5iiQtHZVyPTG1Xrf+OGUIPhc9CekbXOtK14llVQdUXZ0tDjz/sYZl4oxm/ULu36Ng9fN6VYx6YkOrZ5zrL0zb/Q3awrs4HDyMobuvZtG2E9w+tjurZp/LP65KYc70gXSrHoufl5G/TR/gcvk1QF8gmOu514mC0ipOllSSGO48cFZKkZoYxobDp9xPI0zfAMVZ0PdSp7t8mZZJiJ+ZxAvuAJMPrH/T5cPH1ZSka8M857zDsPQR+Edfh7f4AVQr3S1rrHJWSwoLnMlaHDhrmmYBZgHLgF3AfE3TdiilnlJK2ROM5gIBwKdKqc1Kqa+cHK5Tmz0xmXqL3vE1G1y/+m+Cw4WBLuT2jk/uwsYjpyiucK0bks2m8cYPB+nbLYjRZ0W4Ncb4cD8+vn04f7q4N5ma48VEpb5d3Tpmk86A8lmtGZBpmtbyXMc28Pyy3Q6D+4c+38qjX27jX6sOsGhLJmlH88gpquDLX9PdC7QtFTD/d/rdhqs+hCE3wP3b4Yl8uP5LvXTVhrecjq8jzNq//8sRnv1mN5cM7MZzlw/EYHCvTrC3ycir16RwxZBYXly+l2cW73IYmFRYrPxr1QHOnbuKBZszuGNsd75/cDwTKr4Dky8pF93ETw+fx0e3ngNAeIA3nH0NdBsE3z2u1xD+jcpuqmvgwBkQnlx9x0PpF2+Xvg73btFbQ3//V/jPWDi2oc7TfL2MdAn0rpOqYTn4A9b5N7BDS+Li7N9zfv84Vjwwjkcm9SHYVw/Op6XEsPaR87n2nHgsNq2m+ZXLIqpL0nnoTsIheym6RlI1QE/XOF5Q7vS1y6ldX4HBrC8MdKC4wsJ3O7O4ZEA3vALDYcCVsPUTKMtz6fAJ1QH/kVMe/h139F59bL3+mvVyCqx/A5IvZl3SnZRqXnWfa/Zttbtlsycm42uue3fOy2ggyNfEtW+t4/fvb3K/o+UZznFmvps0TfsG+Kbetsdq/X+CJ85zpruof1dmf6bwNhoordQDhNvGdnfv6t8J+8LAaSmnb5/W5Pba0xTsub2gv3hXG9crkn+vPsDP+3O5sF/TQevK3SfYf6KYl64a1KwC/0aD4vaxPVi+shcxrK3zWKnmxfNVV/GE20dtxJgH4et7625rxRcad9kDMnvQaA/IgBb/bpwoLOdPX25z+rjLdzu2ztdTWwrS9QuO8x+r8zvUEmWVVuZvPEZmvuNbnxUWG99sO05eadMlseyz6A6/b0segoyNMON/0KV33ccSR0OP8+CHf8DgG8CnYfrRc0sdB/ZOz+dhn29K5y8LtnN+7y68OGMQRjeDZjuT0cDzlw8kwNvE2z8eYntGPsfyyjieX050iA8T+3Vlxe4THDlZyoQ+UTx6SR89yKkshe2f6zN51d+fIYmh+HkZWb03hwl9o+CiOfDfi+Cnf8K5f/Lkl3/GyCosJ9jXjE+9YKNGWZ4+gzviLrjw6bqPXfkuDLxKr4zx9gUw7HY4/y/gHciCtAzyS6v4dFM6Px/I5cakQq7ZdSeZtkj+0e1Z5k05h4GxIU7H9bsRiXy47iifbDjGneOdr0tpIKIXVBRCURYEuVbvuDGHcvUFf42laoBeWQP0es722fYmaZqe39zjXKfrGL7dkUV5lY3L7H+zw26DtPdh80f6z6QJXYN88DIaGs78t4Sj9+ov7wDNpn8dI++BYbdT6hvF/z33PbeGB3On9UO0An29grr4BY+9Htdnf217+POtlFtsxIT4MntiMhf178pbPxzk1e/38/2eE9w5vge/H9fD+e99J+KRwFm4ZvXeHKqsGu/cOITB8aEM++vymtt6LXXY0cLAxnJ7a/2RDUkIJcDbxKq9OS4Fzm+sOUhMiC+XDGzBi2hmGuO09WzUetKVPGJULkrBB9YJvFcxzLOBc/WLCwFRUJyt/3/4/7XaC427GkujaG5ApmkaX6Zl8MRXO6iw2Jg2KBrTzs+4j3lEq1wytQiet8yg1zk3N30wFy/A3JVXUsl7aw/z3s+HySutwstooNLBgpuYEF9+evg8iissZOSVkZ5XyrFTpTyxaKfD42bkl5GRX1YnlYBf/6dXGxh1n/NbuOf9Bd48F375F4x/qGZzVkE576097DSnsS1m7ZdsO87sz7Ywskc4r1072GmzE1cvcAwGxeNT+nI8v4xlO7Nrtmfkl/POT4eJCvTm/VuGMaZnrdnJ3V/rAVTKtTWbvE1GRvYIZ9XeE2iahkoYAf2m64FzyvUQUnv5y29DdmGF8/xmgD1L9BJvfac5fjx5EiSMgpVP67OMuxezts+j/Lh2ByuN84g25XKiLBS/nWUUqgCOT/2Yt4cMbHISI7lrICO6h/PBL0e4fWx31y+8InrqH3P3eihwLsWgTqc8OJPcNZBAHxPrD+VxWYqLdwePb4aCo3X+futbsDmT2FBfhiSE6hu6nQ1xw/V0jXPuBEPjN+KNBkVsmK9nUzUcvVdrNr1d+P079KYtwAdrDnCypJJhv7sDEh7huy/e5sKtD1AUkECg50bTwLSUGN5Yc5Cuwfp6JbtZ5/Vk+uBYnv1mFy8t38enG9P5y+Q+TOzX1WNdMzsiabndhpZsO06In5nh3cPx9zYxeWA0X289TomLKRKN2eZoYaDT3N5jeh7did2gaXiZDIzsEc7qPU2XpUs7msf6w6e4eXSSS7WiHaoqgy9uJ0+FcHPlbEZXvkzPiv9xyBbFWMM2YoO9mj6Gq4pP6IFQv+nw4F54NAu8gyG/eZUFWoOzwCsjv4xlO7KotLi3eju7sJxb39vIA/O30CsqkCX3juGlvvsalDB6zust8n/5SP/9s1mhvBAKj0PufsjcDId/gr3f6gu+PLi4Mj2vlCe+2sHIOSt5afk+hiSE8tnvR/D8FQMb3BKsvZApwNtEctdAzu8TxY2jkuoGxvWMmrOSq99Yy/wNxyg5tA4WPwjdxzd+lyFmsJ7j/PMrUHqK7RkFPPDJZkY/t5L/rD7QYJGVnafWKDjz/e4T3DMvjZT4UN78XarzGR03q8copdieWejwMaNR1Q2aAdI+gJAESBhdZ/O45C4cO1XGoeravFxQ/Xux/HFXv8ROJbuwvPHmJzsX6ukZMYOd7+MTBBfPhVu+Be8ARqy7kznq9Zq/364qj0DK+dR4CWNTz3Y5SLlhZAIZ+WUs35Xd9M52kZ4tSXcot4TYUD+8TY3PTBoNitSEUPc6CO78Sk+BSb7Y4cMnisr5cV8Olw6Krvs9G3Yb5B2CAytcOk1CmJ9nazk7e68uL6gJmssqrbyx5iCjz4pgSII+G++VOAKAon0/eW4sjmydz1t5N/L24QsapHxGh/jy6jWD+fi24QT6mPj9B79y/dvr2Zdd1CHWhLQGmXFuIxUWKyt2neCi/l1rAs4ZQ2P5ZOMxFm87zozUls3MbM/QFwb2iqp13Rkce3q2tTajl55H9/1fIbwn9JnCZV2H8e1OKwdyijkra4nTWas31hwkyMfE1UNbMN7lT0DuXvaNeIuqHwOhyooFE/+wXMkrXq/yYr/9gOMyQm5b83ewlMN5f9Y/N/vCgCtg84dQNhd8nd/abCtdg30czmYaFNzx/iZC/MxcMqAb0wfHMDg+1OmbpKZpfPFrBk8u2kGl1cZfJvflxpGJ+szSB09hstY9hy+VPFL+ItY5r0FzCt00sbhyQVoGc5ftITO/jOgQX645J5592UUs2nochT6LcfvY7jW/s6mJ+vNqP2f2xGSns+6zJybXSXEBPdB+8MJeFFdY+TItnec+/4HR3n+m3BzCzrPnMFxTmB0eTWcb/yhq19d8/dofufvkZfh7Gbl+RAI3j0pi05G8BufzNnlujYJd7e9beIAXeSWV9IkO4p0bh+LvpO4t4PIdptqcXbQdr582k3dEb2E8/pEGM3LjqgPs1Xtz6B4ZoM8yj7wH1jyvpxrED2/8C+5ksgrKSY5yMv9XXgAHVurfF1eC3bhhcMcaCp9OJEjVDdSUgulVi4GXXR7bhD5RRAf78L+1h5nowt1FQK+q4RXowcC5uMn8ZruhSWF8v2cPp0oqCfNvYkJF0/T85qQx4Od4/czXW45j02DaoHqvKX2m6nck17/htIRdbQnh/qw/pC9c9MjMqrP36lrrcD5cd4Tc4krundCzZlt0TByHbFF4H1vf8jE4s3U+2lf3EE3jdxxH9Ajn67tH8+G6o7zw7R4ufHENBoPCWt27wZMpiO1NAuc28tP+XIoqLFw84PStrsHxoXSP9OfTjcdaHDhvyyigT9fAurPAfS+Fta/W3dHsC1NehsQxsGexfoX+0z+ZpFn50TsC27xeULAJrNWBVK0/ksPRl7B0RxZ3juvR+Bt4Yw58D+v+DcPuYNTEK/lbl9NBwvfmUeywLaL/3tfAcguYWjjznHcENr4DKdfpVRTsBl8PG9/WV/8Pu61l52ghTdMI9/dqEDj7mo38dVo/QgO8WZCWwee/pvPhuqPEh/kxLSWGy1Ji2HIsv+Z7FxXkQ5i/mZ3Hi0hNCGXulWfXfXNyEuQalMabVRcwtn8CfeOj9fJNXgH6LIeXv/7v42v0Ver1NbK40lHe9txle/AyKm4amcgtY5LoFtxwpnZaSozLL6r2/ZwF2vecm0jxW1PwySrid9anWfvxQcL905lydjTTB8dw4EQxf/92L5n5ZXQL9mHkWRH8eiSPu6yjmVyykGfOv5Upo4fULLKy31q2nw8FyVEBHn0TqP99yy2uRAFXD42vGYdTzageEx3i63DxVYNZ9C0f6x8HzWywb3y4H90j/Fm9N4ebRiXpG0ffp89QL3kIbvu+ydvfnYXFaiO3uMJ5RY09S8Fa2WjFhwZM3gQoxxc40YaTbo3PZDRw7fAE5i7bw77sIno6C/BrU6q6skbLA2dN0ziUU0JqgmtdJmvnOTcZ6J/YBSf362l4TizcnEG/6KCGX7fJC4bcBKufg5MH6r5fOBAf5kdJdTOaiAAn9brdkXozrHiy7rZa63DKq6z8Z81BRnQPr/me2MexWOvFpNxf9QuH1kiPWPEUyuLaBbnJaOCGkYlMHtiNMc9/X7OWy64t14S0Jgmc28iSbVkE+pgYeVZ4zTalFFcOieO5pbs5mFOsz9Y0g82msT2jkEsHRdfeCIdWg1+E3nK0IKNhzuPQW/V/padgzxKOLX6X4ad+bniC6j+SNxP7YDYYuHFkYrPGSVkeLPg/fbHJhCeAuoFSWaWVJ/+xiznFT1G2/r/4jryjeeexWzUHlAHGPVR39jPYh2+CkglOe7/dA+dPN6azPbOQqWd3Y9ORfIcB4LnJXSiusLB0exYL0jJ4ZeU+Xl6xD6VOL3TPKiwnq7CcywZF8/f6C8cqS/WSS/Vf/ACCY1npO4tXdhbw9YQxjmeCLny6bo4zgNG70bQHR3nboFdf+PPkvi59b1zRWKCtVjxJ4PG1MO1fvNf/albvzeHLtHQ+WneUd38+jOJ0p6bMgnI+25ROXKgvwZMew2v5xVxXMR98686W1j7f3GW7eX3VgRb97dbn6PumAf9adYDrhic4f2J5IRhNYHWwgLKRCxxns/Z1ZtFtNv0OTfdxEBLv8DjjkiP5aN1RyquseiqJl7/+N/7l7XrQXSsvujPLLa7EpjVSUWPnQgiKgZhUt45b7tsVv7KGXR/Lfbvi4rK5GlcPjeOfK/bxv7VHeHpaf9eeFNFLv+PQQjlFFZRUWptcGGg3MDYYL5OBDYdcCJx3fQUo6D3Z4cMHc4rZkl7Aoxf3cfz8ITfqDWQ2vgMT/9roqRLCT5ek80jgnH8UlAkCo6Aws8F79cfrj5JTVMErM1PqPM3HbGS/d1/8qn7QU03CXCsP65ZmXJCHB3hTVtnw9R86ViWn5vptTAO0syqrjW93ZjOhT1SDvK7LB8dgNCg+3dT8msL2hYEDY2vlN+/+GrK26S8A9+/QS27dv93xLVu/MEi5lhWD/um04pBWkM5nm9KZPjiGLo0tfGnMN7Oh5ARc9h/wavhy7+tl5KqZN7HO1puqlXNaVtLqxG7YOg+G3caCg9QtI1ZQziv5I+D4Fji+tfnnaKEjJ0t4ctEORnQP56WrUuq0Sq4fDAZ4m7hiSCwf3HoOax8+nyAfk8Of1frDeXWD5qJsePcSPWg21JuxNPuizn+cl64ehNlk4O6Pf6XC4uDFbuAM/S6FveaxMoJvqPPFTTh/cfTUYtgmbf9Cz1UeehsMugYvk4EL+kbx+rVD2PDnCYT4mh22N7VpGhNGDkMNuQF+fQ9OOW8UcsPIRMxGA2+52UykMc1qNlBZAh/NAKtFT8OqTRkbvcCZlhLD36YPICbEF4W+ELNBnd8jP+pv7IOuc3qccb0iqbDYWFe7YcWAK/UAccWTUOF+Z9IzUVZjzU/KC2H/cj0twM0ZeL9JT2Ex1j2mxeiD3yT31xmEB3gzZWA0n/+aTmF505VqAIjsBUWZLf45HqzOg2+shnNt3iYjg2JD2HDEhVJxO7+C+BF68FmLPc/2vBdWA2A2OZmVDeqm3wlIe7/J9x574HzUEyXpyvL1cnhnXw0P7GzwXl1eZeXfqw9wTlIYw7uHN3h6Tkh1MN1a6RrNLOfa2n0r2pMEzm3gl4MnKSirYlL/hlfMXYJ8GN8rks83pTe7hWeDhYE2G6z6m56/3P8Kl48zPrkLmZrjusxF3lFUWGzcOqaZV7TbP9dTI8Y91OiimJSEMA4MfJAgyyn2Lfp7884F+op0sz+MfsDhLN6nlSOpwKzfTm4HFquN+z/ZjMGgeGHG2W7V4+0a7ENRueMFpXUCrOyd8Nb5kLMbrv4Ypr1+OvgNjtOD4YEziA7x5fnLB7I9o5DnljhpdDBwxumax1d/pKdu/PKaw12rrDa822khHaB/3QtnQdw5MPHZBg8H+5opKHMcMNSUxBs7W7/QWDXH6Wm6BPpw+eAYPtuUTm6xZ5qhuv1mY6mAedfCsXVwxdtw6Wunf8begaBZm5yFmpYS0+hFG2kf6gtq+zieyQMY3j0cb5OhbiMlgwEmPadXsvnhhUbH0FnYLwwdzjjv+1ZPgXMnTcNu4AxMl75S5+/XdOkrza5qc+PIREorrXzu6oRNRC/9YwvTNewLSF3NcQYYmhTKjowCSisbWUSfux9O7IC+U+tsrl173e65JXucL1Ibdrueh95EE5/YUD+U8lATlC0fQ1Wp07uf8zceI7uwgnvP7+nwcVNUH4rx018DWsP5j1GpHMyq9ziv0ac5qv/sVtfKDkwC5zbwzbYs/LyMTgvPX5kax4miCtbsc697n12DhYE7F8CJnTD+Yf32rYuGJoXyElc3+CPRgHkVI5nQJ4qzujTjlnRhJnz9gD77NPqBJne/Ytrl/GIeRtdt/+ZUjoPc2qakb9Jn3EfOAv9wh7N1BQSwzJqqX+lXtX3r1H+tOsCvR/N5Zlr/ZgWTTQZY+5fD2xeCzQI3LYHeF9cNfuvdfbiwX1duHJnIOz8dYvnOJlbcJ1+k3w5d/bw+E1lLldXGvfPSKK+yYa7X7adNXjTL8uGT6/Qc7Svfc5on3+T3L7Cr/ka29RM9d9KJW8d0p8pq438/H27pyAF48MJeDdIUnX7frFXw6U1w8HuY+gr0v7zuz/iBXRDQVb/TY2veRTnlBXp6wYDL9ZxLJ3zMRoZ318vS1RGbqtclXvtao7P3ncWJourAOdhBoLFzgf7ziDuneQdv5O/XXQNig0mJD+F/a49gs7nQ2CTCXlmjZa23D+WW4GUyuPWaNzQxDItNI+1ovvOddi3UP9br/Ol2x9S4c6DrAFj3RqMNX3zMRroG+bS8lrPNppfBix0G0YMaPGxvRDQ0MZQRPRrONgPERQSwyXoW1qOtFDgPnMFHYXedvkMXHAuRffS614d/dPq02nezQE+/furSfmd8fjNI4NzqrDaNb3dkcV7vLk7LSJ3Xuwvh/l7M39C8dI06CwNtVn2WLLIP9LvMreN4m4zkdZ/GHPP/nZ7ZCIqhzCuCGdoy7h3UjM5RNpue12ythOlvuBTIe5kMRE17Bn+tjA0fPu5+y9WVT4FfOIy4C4vVhq+X4+/7Cp+JUJ6vB9ltaPOxfF5asY+pZ0dzaf3V3S5q9Gp+w9vw4QwITYRbVzh8QXbk4Um96dstiNmfbeF4QRN5aBf9Tf+49JGaTRarjfvmbeabbVn8+ZI+zL3i7MZTADzNZtObBuQf0YPmRmrOujQbMvp+faHkymecHqdHZAAT+kTxv1+OND4j5qIQfy80DUJ8zY1/32xWWHCnvsB30lx9AWx93oF6nnHmr6cX97lrx5d6mk8jaRp243pFcjCnpGEXsQlP6EHI6yMa7WDaGWQVlGM0KCL86wXOFcWw7zt9RrSDLJS8cWQih3JL+MGVtslhSWAweWTGOTHcz63mPYMTQlEK1h9qpCzdzq8gZkiD9AG3U5+U0medT+yAIw7W+9QS74mSdAdXwqkD+jkdmL8xneMF5dx7fi+n1TsSw/3ZZOuF4cROPR2oFewtD9ZbfV//pZ76efNS/U7WJ9fpiymdsN/N+ui2c9A0MHSS2s4d4y+4E1t/6BQnSyrrVNOoz8tk4LKUGJbvyuakm7d8bTaNHRmFp9M0tn+ud6Ua/zAY3O/gMz45kncKh3Lo+nXwRD6We7dzk+EZlMFE/1W3QrGbs+Ib3tJnxC58psmVyrUl9TuH/VEXMTbvC779ZbPr5zu4Gg6ugjF/oEz5ccf7myittGIyNJz9PHfSFRAcr+e0tZHSSgv3f7KZqEBvnr7UxYU5DjjMTb2sL9NOvA6LH4CzJsDNSyDY9UDVx2zklWtSqLDYuHfe5poyQg6FxMO4P+oXHXuW6kHzJ5tZvO04j17ch1vHdG86BcATarepfS4B9i6FiX+DhBGNPs2l3F6/MBh5t/41Zmxyeqzfj+tOfmkV8ze0rDa4pmm8+N1eYkN9Wf/oBOffN02Dr+/Tbyef/zic4/hNF9Bne2NS9RKQzXlTTfsQIns3XnO42rjk02Xp6jj8I6BVL05tur70mSyrsJwugd4NU6/2fauXxWxkXUBbm9S/GxEB3rznyt0SoxlCkyDHyUytiw7llriVpgEQ5GOmT9cg5/Wc847ojU/6TG3wULPybPtfoTceWf9Go+NKCPdrearG+jfBP7JBiglApcXGv77fz+D4EEad5Xi22T6OTVpPFJreGdXDNE0jrngbNgwQW938xDcErvlEX3z/0Qy9wEAjRnQPp0ekP//75YjHx9ceJHBuZUu2H8fHbGB8suM0DbsrU+Ow2DQWbM506/hHTpVSZO8YaLXos81R/R2+iLhiXK8uAKzeo99yXboji3X5Qewc/yaqKAs+vrphrVhncvbCd4/BWRfo5Xbc1OOqv2FWVgqW/dW1RWWapi9ECoolv9/1XPvWL6zcc4JnpvXn71eeXadhxiOTkpk2OE5f7X9wlf7i2wb+ungXh0+W8PcZZxPs10R5sSZMM/7ET973cMjnWn7ymsW09dfr5QeH3aHnIXu730uqR2QAT1/an/WHTvHKyiZuyw6/CyKS0ZbM5o/z1vH11uP86eLe3Da2BSu7awfCTc1M1m/4UVFYvXDRtdrcLgX2I/5Pv3ux4umGj1UbkhDGkIRQ3vrxkON1Ci5+Td/tzGZregH3nN/TeWdATYNlf9I7IY55EMY0kfpkMMCk5/VFuT+4uWYgZw+kr9dns12YKeoe4U9cmC+r9tQLnFc8pc+KUPMAACAASURBVKcM1daCBjodWXZhueP85p0Lwb9Lh6pp7WUycM2wOL7fc4IjJ11Y5BaZ3KJUDatN48jJEpIi3E/3G5YURtrRfKoc/X3tWqR/dBB83jehJ/V/c5tMGfPy00uW7lqkpxk6kRDuT25xRfMbmOUdhr3L9GoepoapPZ9tSiezoJx7JzifbQa9HOQWWw89sG2FBYIFZVUMsO3iVEDPuu8pYUn6+0z+UZj/O7BUOj2GUorrhyew5Vg+W9MbSbk5Q0jg3IpsNo2l27MY36sLfl6Npygkdw3k7LgQPt14zK3UhDoLA7fN12/7OGhS4Cp7TdZVe/Uugm+sOUhShD/DxlwI09/UZ96+uL3pnElrlV6KyuwDl77arPqSxvAkSgdcx2XaSl6Yt6Tp78vuxZCxifxhD3DFW2lszyjk9WsGc93whJog6dv7x+r72scz6FpA6eW2PMVJoLRiVzYfrjvKbWO6M7KH40WYbp2jdtBYmAFZm2Hg1XDx827lttd3+ZBYpqfE8PKKffxysJE6sSYvrJP+jso/StKuf/PwpN7cPtb1uwoNOOp8t3AWfPcE7Fuu18Dd9TXsWADbPtNrBDdoU2v1bEDmHajn5R/8Hg794HS328d2Jz2vjCXb6+Xku9jNz2bTeHH5PhLD/Zje2Mz898/CL6/rrYHtTX2aEjtE/z1f+3qjt1Ub2PyhfiEy8CqXdldKMa5XJD8fyK3b7bKxDqY/v9Kpcp8dttuuLNVnnPtMadZdwNZ07fAEjErx/loXJg4ieurvL45KHrogI6+MKqtG99ozzi5eVA5NDKOsysoOR50ud30FUQMcLoLNKihHAyICvNxLGUu9RW95vfG/TneJD7NX1mjmrPOGt/UZ2yE3NXio0mLjte/3MyguhLE9G3+vCPIx4+0fQpZP91ZZIHgst4gUw35Kug5t+GD8cJj6Khz+Qb/T2ch79PQhsfh5GfmgE8w6S+Dcin49mseJogomDXCtQ9OM1Fh2ZxXVBMOu2J5RgJfRQK8IH714e7ezofclzR0yAGN7RbL2wElW781ha3oBt45J0nPS+k7VUy52fQXLG2ldDHrHvsw0mPySvtCqmYIu/BOYzIxOf4OP1h91vqPNCiufpjKkB5PXxJFdUM7/bhnGpHopMr2iAunZJYDFW6troobEQY9z9VvSNsd1J93iJFAqXP8RD32+ld5dA/nDhb1afh5HXeIAjnim9epT0/qTEO7PffM2c6rE8UyC1abxhw2BfG4dzf+Zv+b3/Zq5AM3O0ddkrYCfXoQPL4ePr4JProVPb4DPb4EyJ7cHm+ho6Laht0BgtF6pxckbwwV9ouge4c9/1hyoe4HXWDe/WpbuyGLX8ULundATk7NW9j++pHfjG/w7PcfcnYvR8x/XZ7WW/cm1/a0W2DIPek2EgC4un2Zcry6UVlrZeKTWz8ZZ2SqDGb79M7w8CF4fqV8UHN/S6JtvR5ddUN6w+cn+7/SqCf06TpqGXVSQDxP7d2X+xmNN5+hHJOt3DvION+tcB3OLAUiy13B2o0X80KRQADbUz3MuPK4Hiw5mm7MKynl91QEu6teVjX++wL2UsbAk/Xd/03/1yjUO1K7l7LbKUv2uUZ/JDtPpvkxLJyO/jHvP7+lSZ8L4cD92GHvDsQ2eeR+rpfDwr/irCgzO7pacfZVehSjtffjZeRfLIB8z01JiWLg5k4LS5l18dRQSOLeiJduz8DIaOK+3a288U86OxttkYP5G13Mlt6UX0LtbIF7b5+kvaOc+2uLuQV4mRYXFxo3/3YBBgVftN/IRd+m1cX9+Rc/PciR9E6yZq89+tvTNIrArpuH/x6XGn/ls8RLntxS3zoec3fwp/1IqNAOf3DHCYc1LgIsHdGP94VOcqK65Ssr1UJiuzyq2lJNAqXLZ4xSWW/jn1SkNank3SzOK0rsjwNvEKzNTOFVSyexPtzSY7bfaNGZ/uoUFmzMpGP0YRi9/WPyHlgU9Tseu4Jblege6O36AO9fCrI16K2BHmqgv6jazr57PfWydPnPogMGguG1sd7ZnFLL2wEn9d2DTe47b6IK+PTMN0L+XL363l7O6BDD1bCdv6uvfhOWP6/mXk19y/288MEp/c9u7VJ+9b8r+5XoZOUeLDhsxskc4ZqOqW5bu/McaVuQw++rlEe/dopcM9A3RXzP+MxZeGghLHtZn+K0W99J32lFJhYWiCgtdgurddt+xQG9EFT+yfQbWhBtHJlJYbmFBWhNpgvaSdM3Mcz5Uv4azixeVoJd+TAz3Y339PGf7wm4HqYnPL92N1abx/+3dd3hc1Zn48e8Z9S6r2JZVXSR3Y2PZ2Bib6hhMc+ghhLIhDdhslgXisITkRwoObEKSJWUJCQFSTbMdMBgwxRT3gm3cq6rVe5fm/P44M7LKjDSjKRpJ7+d59EgaXc/c8dWM3nvuWx52NvCkP/O/Bg1lpvDQgcwE8zwG1Mt5/yumMN1BUWBbh5Wn3z/GrLS4flM87bISo/i0dSK01vXZBWgglG0VO27yYucbXfSwaUbwzg/MVUEnbjsvk5Z2Ky/t9KweZLBJ4OwjWps0jcXZScSEu5bLGhsewvKZKazdU0Szg6lrPVmtmv1FNZyTEmn+6KTOhewveLTfa3YX8kKXy3ZWDY+u/fxs30ul4PJVkL0M3nzI5Gh11doAr37NBDXLn/BoX+zUBf+BNSye76h/8uBLe3sXrbW30vTOj9mvx7MrajGvfut8po2LdXp/V85KQWuzygeYFfqIBNjlhSJBJ8FfQnsZ3718CpPHup937FB4nOPbvRg0zkiNY+UVU9h4qJTnPjnVeXuHVfPgy5/x6u5CHvhCDv+27Dy49PtmUuX+Vwb2YH2kQRCXBunzTIFayiwYM81cNl76mOOArI+BHwM25zZTHLXxR07TlL44J5XJUY2UrnsUnppuVs96Dp3ppOCZi+DPV7H97b9xrLSW71yW7bjbwJ6/wfoHYPJy+OLvB365f8G3zOXst1b2f7l9z19M0ZKb7ydRYcHMy0roXiDYc4BOlx7ijMoyJ+N3rYcHjprLvmOmm+ltz18FqzLgtW+6tCo52EocDT9pazLvkVOv9ih9ypdyM0cxNSWWFzaf6jsdLsnWR3iAnTVOljcQExZMUrStRWRfKTzHNvZ6neVmJbDjVGX39nkH1pqAfvSUbtvuya/m1d2FfHXxeDIS3Z2taDPhEkic5LRIMC4yhLiIEPdXnLU295k8FTIX9frxa7sLya90fbUZTNrIxvos842X0zViynZSRBKxY7Kcb2SxwIrfmRjk1a9BkeOC/mnjYsnNHMVftrjYBjFASeDsI3sLaiisbuqVKtCfG3PTqGtuZ8Pn/fcvPl3ZSF1zO9dY3zNvNhc/7PFq85MbDtPc1v0Nq1ffy6BguOFPpgjxpbu6v0jeedTkwX3xd86DO3dFxGNZ/B0uVLuwnv6UP/WY1LbrtaeIaCjg5bi7eOlbi0hP6PuNsle6RnCYyeM89AY09JHT25/jzlesGy3R3LWwj5HJrupohzceMKsVqkcA5YOg8a5FWVw6ZTQ/fuMA837yLuNXvsHMH27g1V2F3L80h/susf0xzf03SJltUgGaXU81AswJy4srIHqMGQ3eVV/Pqa+AzNuCQszVnJJ9cOC13j8/s4/w1+9jvfVbXFPzN+qSz4U7Xjerqo6C+6t/CV/4MbryOAu23MOHkStZ3vq26SnedYX1iQmm7dyEi+GG58x+DFRwmOk4UnG0744BDRUmn3zWzQN6vAtzkjl0pq57Qa8rPYijkkxR1q3/gIdOwE0vAtrkrXcVoIWFDqcGHtsIbQ0DG3riJ0op7jw/k0Nn6rpPfuwpPNYsiHgQOI9PjjobDDo7yVcW+Mt18L9z4OOnOjs5zc9KoKqxjeNlJuWDhnKTmtZjtVlrzWP/+pyk6DDuvXjSgPYVMMFg6lxTIOvkakdmYqT7Oc4F2+HMXrOi3eXv9ZrdhZy/aiMPvbyXkCBFrZMhTY5kJUWSp0fTHjnauwWCWpNW9xlHQqb3v21IBHzp76aY+u+3OC2s/MrCTE5VNPKxK20QA5QEzj6yfn8xwRbF0qlj+t+4iwXjE0lPiHApXWNfYQ1htDL71LOQvgAmXjrQ3e3kct/LsGi4dbUZvfz81fDzKebNZfuzMHEpjF/i8b50M/8b6OixPB77KqvePMB8WxB33g/Xkr7/NxwKm8mD99xDYrSDwQMO9ErXOPcrYG0zAy8G4sjb8LebTS5sj+CvA0W0rsOy/v4+K4/71Vxr8ny3/wHO/7Y5w/dx0KiU4uIpo7FqKKtrQUNne7+MricoliC46imoLzW5qq6wWs2J1rr7IGsx3LvVDPJw5zl5cShEv2ZcDzGppjj2h/FmVXnDf8Ofr4LfXwAH1tI+53au1E/xg8hHYPxi58H93Dvh/H/n1cXr+XbrvcTFxmF5/T/giYkmULavsDZWmEBixvWm0NZTOctMq8IPVjlvLblvtXktzP7ygB7iosm2zjw9h6G4Iyza5K066+Dj7Tx2L7CvOI/pmuN8YI25mpXVx2XuAHDNOanERYTwwuZTfW+YlO1Z4Ny1MPDSRx2fKF/7G7j+jxCbZtoo/mIqvHQXi0MOAdqka+xdDU/nmgK+3S92C2jXfVbErrxqHlo2megwD1b5967ukqbh+GpHRsIAWtJtewbCYrsV3donHNonl7Z1aB5+bb/zCYc9ZCREAYrKhNneXXGuzmNURwVFsbNc2z56tGlT11JngmcHo8svnzGWxKhQXhzCRYISOPuA1po3953h/ElJbrccs1gUN85N55NjFb0HCfSwv7CG20I+IKSh2CurzeBm38vYFFM41VILdcVgny10+mPvX0oNjURd+BDZLftZovZQagvirm97g2RVQ/Hch4hyMSUGHKRrjJkO4841I7jdzdM9+Dr841ZzufBbH7N91mOcIRmrVhRYk1iT8YgZprHzObOy2jCAM+3qPPjTMtM67+pfwRd+ZIoy/BA0/u6D3p0Y2q269/St1HPN78O2Z0yRV19aG2D1V+CTX5nV6i+/ZPJc/RkIu2v/y9BYZmutpk3wtvlpOLPfpI3c/zlh1/yC83Lns+6zorMnm06eU1uHlV+9f4rjY68g9tsfwx3/At3eu3WbtprCX29Qyqw6tzWaQUE9aW1eA+PONSkxA5AzJpqxseG9+zkPhLNVSW/nsXvBmRpTRNbZjq6t2azcT70qYNM07CJCg7hlXjobPi9xPhwETIFg+VG33yOb2zoorG7qHjjPusksWADdTipn3wozb4C73oB7t8G8u+H4RlLW3MAH4Q+S88l/wbpvQ1OV+af1JZ0BbVNrB6vePMSM1FhumOvh78jGx2y9x7vocbUjMzGSwuomx23yHKkvNTnvs79sTg5t3J5w2EOWLR3lVMQMqDppHscLdN4Ws9tjcl3/R2Omm6tjZ/bBc8vNAkOXFfuw4CBumZ/OxoMl3UahDyUSOPvAgeJa8iobWT5jYN0krp+bhlKmj2NfDuWXcm/wWsi8wGsrvG7Pl9/xp963tfvoUuq5t1OgxvJg8GoUVmKp5xvB/+Ldjjk8ssu93qC90jXAvImXfm4mrblq/yumh+W42XD7OtYcbuL27ZksaP4VE1r+ygWtv+aRkzNYk/g1uO5Z087vDxebYMtVBTvgD5dATSHc9opZrfQjt6ZvXfKIuVT3+v3OWxbWFsGfLofD6+Hyn8GVv/AsBcFfNj5mJmD2FBYFi/7DXH0BvnrBeDTw3Cd9t1l7eWcBeZWN3L80B2WxmNewkwp+r66wJueYXt+7Xuydi1j8GZTsN/3NB8jelu6jo+WO+1q7w1FhYXC4b/LYPVRS20x0WPDZVc7j75lirQBO0+jqtgWZWLXmb1v76F6UlGNbKOk/lbCrvMpGtKb38BONmc75/XLHJ8rJk+GKVXD/IVjxO6zh8cyrfcdpQPt/m45TXNPMo1dN7z2Exl0uFGBnJkTRYdV9n2x0tfN5czVn3t3dbnZ7wmEPCVGhxIQFs1fZ/k57KV2j5cSn1OkIQse5Oawr5wsw80YzmKamgJ4r9l+anwHA37YOzVVnCZx94M19Z7AoWDrNvTQNu9T4CC6YlMTLOwucJtBrrZlR/DIJusprq83g4kS1rnzc3aGboBCeaLmBaZbT7Az7Fp+FfZ1YGtlhzXH9jauLXukaM66H4AjXiwQ/+we8cjekn2dGkUbE971yMOtGUwTV0QZ//MLZxv192f8q/PlKCI2Cu9+BCRe59Ry9wa2rEBGjTMvCwh2w6/nePy/aY04CKk/Al/4BC77ptd9dn3P6u979cmp6QiRXzkzh79vyqW12nKfY0t7B0++ZPq3duu74a4X1wofMCc6b3+2+erjnrxAUZl4LHrhocjJ1ze3szvdw2EHPVBcwr7dAuhJhY4afdEkVO7DWTKAbf+Hg7ZQb0hMiuXTKGP6+Lc95cXqyrbOGm+kaJ8rMJfsJPYef5G020+j6W5EPjYTZt/LBBX/DWU2Zring9x8e58qZKcwfn+DW/jnk7DUXO67zywx3WtJ1tJmFpomXQFL33OsBTTjsQilFRmIkW5rTICjUa+kaOm8Lu62TSE0YQFG7o5HlthOctFGRXDJlDP/cnk9Lu3fb5/mDBM5eprVm/f5iFkxIdDnf1pEbc9MprG7i0+OOi9XyzpRzl17DmcQFkNW7MtcTbo1K9vOl1ISIIKxakaDqUMrEXN8Ofo07ot0/w+6VrhEeZ1aH9r9i+mz2Zefzpto/azHc9nLnRKV+Vw5S55q2aqOnwD9vgw+fdHzZU2vTC/vlu0zR3d0bzerLIHD7KsSsm021+Ls/7J6WcvB1eO4KsATDV982+bZDiRu/619fMoH6lnanq3ert+dTWN1kVpu7njg4a93m7RXWiHhzn/lbznZCsRcmTr26c/V8oM6flESQpUdbuoHqmuoy+zZTXNXPiN/BcKbr1MD2Fjj8Jky5amhcTbGZNDqKioZWpnz/LRateq93jm3SwALnzlZ0SV3qIpqqoORzyHS9Td/88QkUaccDQaqCTS3GyiumOPy52xy9FgFCojprVTp7ObtSIHjoDagrctiC7gEHvf37nXDYQ1ZiFCcq22HcHO+sODdVE151mB3WyaQnuBbAd9PPotpXFmZSXt/KWz2HRg0BXgmclVKXK6UOK6WOKaVWOvh5mFLqn7afb1VKZXnjcQPR0dJ6TpQ1uN1No6cvTBtDbHiw0yLBho9/R7KqpWHRQx49jsf89Yfe5qHQ1VhU90AzUrXyUIj7RX1O0zVaas1qkTPb/mAuOU26zBRChJ69/JgU4/hkqdvKQWwK3Lne9Ll+/8fw0p2w6y9detVOhz9dYQZuzLwJbl9rOg4MErevQigFV/7cdNf45SzznFZlmOElo6eZk4AxLlRpBxo3ftdnpMaxaFIif/r4ZK8Vlea2Dp5+/xjzskaxuOdUMH92CplzmxmY9Pb3Tc754fWmW4sHaRp2cREhnJsR7508564W3mPys3f+2bv36wUlNc1nO2qc+ABaaoZMmgaYArXnPz3V+X1hdRPfe3Vf9+A5JgVCYwYQONeTFB3WvTVr3lZAQ8ZCl+9nakosv1ZfolV1f5/tCIrgh43X8/XFE/rtquQyR6/F3Luh4gis+3fQmjEx4YQGW8hzZWT5tj9AfIbDFo/ZY8zCS3xkiHsTDrvISIwkv6oRa9o80yPeWdqXqwp2oNDs0Dmkurjy3U0/Cw2LJyWRlRg5JCcJelyxoJQKAn4DLAUKgO1KqXVa6wNdNvsqUKW1nqSUugX4GeDaHNch5s19Z0z9zfSBpWnYhYcEsWJOKv/Ynk9NY1v3IsOWOrIOP8sm6zksmHWxh3vsIfsf9I2PmTPJuDQTSPjoUmpkk+OzU2e392f5zBR+/d5RSmubGR0bblZKEyaYSu3ZX+r9Dz59Gt7+b5h8Jdz4nGnxZdPWYSXEQV6dw5WDkHDTk3fMNNNZ4sBaOosrawrMx9Rr4LpnAiKVYcWcVLfexDmzz3TaaLP9QWmuMe3zcu8ywziGIjd/17+xZCK3/2kba/cUcVNueuftf92aR0ltC0/dPNtxn9ZZN/knFcESZHLMn7vcdMVpqTXHyEuFRRfmJPM/bx+hrK6FZCcnlG4bM92kPmz7A5z/7wGzmmu1akrrWs521DiwFsLiBiW1aqBMmpnjVqSdr32lTGcNN4egnCxv6D5qGyDvU9PnPM31wrMgi+JM5jX8vCyE74W+BDUF6Lg0fmm9hS2WBTx+0US39qtfjl6LMWPg/Z9AwgQsF33Xtc4aJQdM0fzSxxz2Yd94sBSl4N37LyRpgFeqsxIjaevQVCbMIamjxdQrpM8f0H0BkL+FDoI4GTbF5VkU3Vz6qFlg6tkZJz4DrB1YLEHctiCTH79xkIPFtUxNcT57IdB4Y8V5PnBMa31Ca90K/APoeZp9LWBPeHwZuFS52tl7iHlzfzHzMhMYHeN566ibctNpbbey7rMel8u2/h+R7TWsib+D0OAAyLbxZycEL6eG9ErXUMqsxJ3+BCp6dJPY9D8maJ62Am56vlvQDPCHj05QVNPMXYsyXVudVcoUlUUm0Rk0d1W0OyCC5gHZ+JiD7hAdpg3aUObG7/ri7CSmpsTyh00nOmsVGlvb+d0Hx1g4IZHzJw7eVYRONfkmWG6pNd/rDnj9O17pimNvS/fRUW+vOt9nLnl/vsa79+uBioZW2q3arDi3t5qJdlOWQ3DoYO+ay1wuUEu2ddZww8nyxt6Fgac3m048jtIh+jA/axT/V5VL9Td2wQ+rWXPRW/xv2RweunwKUZ60n3PVkgfhnC/BBz+Fz/5JZoILvZy3/8EUtc75isMfbzxUwpz0+AEHzWBvSQfHw2xX8zzNc87bQl7oBJISHE/g7ZejFfspV5u/rS/dCe0t3DA3jbBgy5BrTeeNqCsV6JpPUGC7zeE2Wut2oAbodTSUUl9XSu1QSu0oK/Pym60fnCir59CZOi4fYDeNnqaPi2VqSiwv2btr7F0Nv5iGfu9HNBPK/DgPC2+GIi+nhjhM1zjnVtM7d7etSFBreO8nJnVi1s2mx2iPla6T5Q388t2jXD59LD+4eobrOeJgevU6EoC9al3mz6LRAKWU4utLxnO0tJ4PbD2NX9x8mvL6Vu53kNM4KDY+5rMBI9NSYkmKDvV+usakyyAx27QC9GTEuxd19nCODYOTm8wVliGUpgFuFKglZZsTl+Zal+63trmN8voWxid3CZxbG83CgBtpGna5Wabwb8epKhpb2/nZm4eZlRbHde5cEfOEUiYgzFoM6+7jgtDDtq4hTn4Xm6pNIfmMGyCyd9FiSW0zewtquNTNmQ892fPHjzZGmomcngTOHW1QsIPdejJpowaQpmHXc6Hhlr+YycMH18HfbyE+uI1rzhnHmt2FTgupA5E3AmdHS2I9f4Nc2Qat9TNa61ytdW5ysmsz2gPJm7Ykd28FzkopbspNM1MINz1vLnvUFqKAcFq5ofCJgBw961M+yAHt1V0jNsVMRfzkV7b83HTY9ASce7sZOtKjAtxq1ax8ZS9hwRYeu3YAubtDqFety4bjcxqAq2aNY1xcOL//8AT1Le38/sPjLM5OYl6WF6r+vcGHJzgWi2JJdjKbjpTR4c3xuhaLGR9evMd0ZQgAZwPncDP0JDTGdE8YQhwVAYcEqd5pZvYCwQrXVp1P2QoDu604F+4wbdncKAy0m50eT0iQYvupSn7/wXHO1Dbz6FXTPG8/547gULjpBYjP5EsnH2ZMWwFl9U5yij/7u8nLn/81hz/eeNCcVA+0C5fdmJhwwoItZvU7fYEpEBzoieWZvdDexKbmiZ4Fzo4s+BZc+1tTB/DiF7nz3HgaWzt4bZdrw14CgTcC5wIgvcv3aUDPWYud2yilgoE4IPDKoj305v5iZqfHu9xCxhUrZqcSGmQh6uOf9soVCrY2B+ToWZ/zcmpIr3SNvauh7JAZPIE2U5AswaZftoP8tH9sz2fryUr+e/lUkyftLj8XWPrFcHxOAxASZGH++AS2naxkxg82UNXYRm6WZx0rvMrHJzgXTk6mqrGNfYVujmHvzzlfMp0/Nv/Gu/c7QJ3jtqODTJrG5Ct6pXIFup5FwEFKMSEpqvcVsyRbIO1iuoa9o0a3HOfTmwFlWgu6KTwkiNT4CJ79+CS/fu8YESFBFFQNwiCNyAT48mosFgt/CnmCokIHJ5tWq5mmmzbf9Pp34N2DJaQnRJA92r1ZBD1ZbNNcT5U3mNzm+hKoHmAKRJ5Zrd7clu29Ysuu5nwZbnweinYz/e1bWZKqeXHLaeer9gHGG4HzdiBbKTVeKRUK3AKs67HNOuAO29c3AO/pofI/5KL8ykb2F9ayfKZ3VpvtRkWFsnTaGGJbSxxvMIIufftKr3QNR4MurO0mVaOHktpmHl9/kIUTErl5Xnqvn7vEn50U/GU4PqcBWLO78OwJmc3vPzjh8ihdn/PxCc7i7GSUwjtt6boKjYS5d5kWX5V9D5rxh5KaZpSC0RXbTZu1IZamYde1Fel9l0ziSGl97+luCePNQoKLBYInyhpQ6mzPY8AUBo6ZYdoiumnN7kIKqpo6r2I0tXX07v7hLwkTKL3yOcapStI23G1aOnZ14n2oOOawBR2YmodPjpVz2dQxjguF3ZSZGGVbcbadkAy0LV3eZlqi0yghwfsrznbTrjFdqSpP8Jvmh2kqPcnmE07SFgOMx4GzLWf5PmADcBBYrbX+XCn1mFLqGttmfwQSlVLHgPuBXi3rhro395ug64oZnrWhc+TG3DSKrE4S9EfYpW9f6Zau4eLla60131+zn9YOK49fN9OzN75AHjU9UMPxObnpyQ2HaXbSqSAg+PgEJyEqlFlp8Z053l41/+smgNv6f96/bzedqW0mKTqMoEPrzCS8SZcO9i557Ia5aWgNr/ScYBsUYjoPudiS7mR5A2mjIggLtl2t62iD/O2QFTDoqgAAIABJREFU6X5+M5jXVHuP1J/BfE0lT1vCf7V/k6Sq3bD23u7pEdv+AFHJJkh04OOj5bS0W7nMw/xmu8zESE5VNKCTp5h0oYHkOWsN+VspGzUHgLRRPlhxtpt4Cdy+luiOal4Jf4zi9T/r0pZ1RsCmonqlJYPWer3WOkdrPVFr/RPbbY9qrdfZvm7WWt+otZ6ktZ6vtT7hjccNBGt2F7Jo1Xv8dP0hQoIUO09Xef0xFmcn80zIbbT06F05Ei99+0q3dA0XL1+/uf8Mbx8o4T+X5pDVs2JcCDwfpesXPj7BuSgnmc/yq6lqcDCu3BOxKTDjOlPE2+zlVBA3ldS2MC4mxEwDzVnmdqeIQJSeEMn5ExN5aWd+7wm2STluBc5ZiV3eH4v3mjaVAygMhMB7TYUFB7E75hJeT/4a7H8Z3v+p+UHVKTjyFsy902nazsaDpcSEB3tn0iGmJV1zm5XShnbT5m8ggXPVKagv4Vi4qdfx2YqzXfp81J3ribc0c135M6bTT48R3YEmAHqZDV1rdhfyvVf3dV7KauvQPrlkFGRRxM6/le+2fpWWqHFYtaIhPGVEXvr2lW7pGi5cvq5pbOPRtZ8zIzWWuy8Y7+e9FUOFp6N0h4MLJydj1fDxsfL+N3bXgnugtR52veD9+3ZDSW0zi0OPmA4501YM6r540425aeRXNrH1ZI+SpKQcqDxhVo/7oLXu3cM5zzaKeQCFgRCYr6mMhEj+yArTbm7TE/Cz8fCrcwANkY4bHVitmo2HSrkwJ5mQIO+EYhm2E5TTFbZ0jZLPTY2OO/K2ALCHqSRGhRIZ6ocWf2NnEBwR3bv7qpc6/HibBM4eMA3ju7dy8tUloxvmprGm4wKuD3+GCS1/5cRtWyVo9rLOdI2sa/q9fP2T9Qeoamxl1XWzCPbSm54YftweVz4MnZMWT3xkCB94O88ZTMFV5iKTrtHR3v/2PnKmtpnFbR9DSKRplzdMXD49hZiwYF7qOcE2KcfUffSTX15e30p9S3v3jhqnN5tUj5iB1QMF4msqIyGSvMom87uoLNDU5URj4w8crpp+VlBNeX2Lx900usqy5ZGfqrAVCGorFOxw707yt0BYHLuaxvh+tbmLoAbH6Vw6AOu45C++B/x5ySgrKYqJSVHsLzS9M7/x4o7AKTAaJrqla/Rx+fqTY+Ws3lHA1xZPYEZq3CDusQh0bo8rH4aCLIrF2cl8eKSs9yV/b1h4r7mse+hf3r9vFzS3dVDb2MLM2k1mnHKoD3NC/SwiNIirzhnH+v3F1HXts2tvSddPuoa9o8b4ZFvHCKvVtBDMGNhqMwTmayojMZKKhlas7/3Y1o2pCyerpu8eLCHIorgoZ7TX9iM1PoJgiyKvotE2kVG5XyCYtxXS51FQ3UKaLzpqOFGC44FQzm4fTH5Ygx++xsVH9K44xjeXjNbsLiSv6ux0oqKaZr736j6AEfVH2Je6pmvcvjDL4TZNraaCe3xSFN+5LNu/OyiGJLfHlQ9D0WFBlNe3MPHh9YyLj+DBZZO993+SczmMGg+bfwvTv+id+3RDaW0L89RhItsqYfrwSdOwuyk3jb9vy+P1vcV8aX6GuTHJ9t5Xfhi4yum/PVleD3RpRVd+2KzGDrAw0C7QXlOZtpVeVetkMcvBqunGg6XMyxpFXKT3xsYHB1lIHRVhVpzD42D0NPfynJuqoOwg1hnXU3CwiaXTvbca3p/HW2/k8ZBniVRnayEadSiPt93Ir/y2F66RFWcP3L4ws9dtvrpk9OSGw7R1BE4l8XDVaxhKD0+9e4S8ykYev24m4SG9ezoLIbpbs7uwc7iBBgqrm7xbC2IJMkMVCraZbg1+dqa2meVBW+gICodJS/3++L42Oz2e7NHR3dM1wmMhJqXfXs4nyhsIDbKcXUw6bctvHmBhYKDKtI27bo500lWrR2F5fmUjh87Uea2bRrd9SYwyOc5g0jUKtpuVflfYVqerk86ltcPq244aPeyIXcrKtrspsCZh1YoCaxIr2+5mR2zgvaYkcB4grTUfHikjLFgxNjbc55eMAq2SeLjqNQyli70F1Tz70Qm+ND+dBROctAcUQnTz5IbDNLf7uCXf7C9DWBxs8f9AlDM1jVwRtJ3GjIshzLMhFoFIKcWNuWnsyqvmWGmXQjMXOmucLGsgMzGSIPtUv7zNED3W5DgPI/Ye1Z9k3uNSX/SNB81cBk/HbDuSmWBrSac1ZCyAlloz0MsVeVvAEsyp8CkApPsxx/nBZZN5J+hCLmj9NRNa/soFrb/mnaALA7IeRALnAVr3WRGfHq/gkSunseXhSzm56ko+WXmJzy4fBWIl8XDUaxiKTVuHle++so+k6DBWXjF1kPZOiKHHLyf9YdEw93Y4sA6q8/vf3otU/lZGq2qCZvg/TcRfvjgnjSCL4qWuPZ2TcqDsSJ9jnU+WN/QuDMxcSO/2CUNbXEQI8ZEhvBd6kUt90d89WMrE5Kju/zdekpkYSV1zO9WNbWbFGVxP18jfCmNnkWdKqfy64hyIuevOSOA8ALXNbfz4jYPMSovj1vN6p2v4QiBWEg9XjtI1ntl0goPFtfxoxQziIryXkybEcOe3k/753zCft/lpIMre1fDUDK7a+W9oDRE4Tu8aDpJjwrh48mhe3VVIe4ft6kHyZGitg7reV+cAOqya0xWNZ4PD6jyoLfCoMDCQZSZEmqK8fvqi1za3sfVkBZd5sZtGV/ae2acrG03uf1SyawWC7a1QuBMyFlJgq6fyZ1cN6D650pcLkZ6SwHkAfvH2EcrrW/jxihlnL0H52FA6GxvqeqZrHC+r51cbj3LFjLEsm+7dkepCDHd+O+mPTzejrne+4H7vWnftXW2GM9TkozALqOqt7wbksAZvuSk3jbK6Fj48Ymsr2K1AsLei6iZaO6xnA2d7frOHhYGBKiMxitOVDf1ut+lIGW0d2if5zXC2UPF0RYP5xUw/z7UV5+LPoL0ZMs6joKqJ5JgwqeNxQgJnN+0vrOGFzae47bxMZqXF+/Wxh8rZ2FDXNV3DajVDbcKDLfy/a6cP9q4JMeR0PekH057OZyf9C++FlhrY/Vfv33dXGx8zbca6CtBhDd5y8ZTRJEWHstpeJJhkO/FxUiDY2Yqua+Bs7/QwDGUmRFJU3UxbR9+FeBsPljIqMoRzM0b5ZD/SEyJRiu4FgpXHob6fPur5W2zbLyC/qtHvq81DiQTObrBaNY+s2U9CVCgPfEFSJIazCUlRbD1ZyYSH17PtZCXLZ6YwOiZ8sHdLiCHJftL/w6un0WHVzMnw0aJDWi6kzYetvwNrR//bD0RtsW0ssAMBOKzBW0KCLHxxTiobD5ZSXt9iBpiExkCZ4xXnsz2cbYFz3mZIX2C6oAxDGYmRdFg1hVXOc/fbO6y8d6iUi6eM9tnV6vCQIMbGhpuWdGBWnMF0nelL3hYYlQUxYyioavJrfvNQI4GzG/65I589+dU8vHyqV3svisCyZnchHxzpfna+dk+hDJwRwkNLcsz44Y+O+mD8tt3Ce6DqFBx+07v3W3IA1twDv5zpfJsebceGmxtz02m3avNeqJRJ13DSWeNkeQPRYcEkR4eZ1c7yI8M2TQPMijPYcoud2Hm6ipqmNpb6KE2jc18SI8+uOKfMBktI3+kaWpufZyykw6opqm7ya0eNoUYCZxdV1Lew6s1DzB+fwBclRWJYe3LDYVp6tc+ySs9sITw0PimK1PgIPjrqg/HbdlOuhrgM2PJb9/6drdiPH8abz3tXm4DixAfwl+vhdwvh89cg9y5Y9lPag7pfgWoPCu/Vdmy4yRkTwznp8by0o8C0O0ue7DRwPmHrqKGUMqvNMGwLA8H0TwbIq3Ce5/zuwRJCgywstp1A+mxfErr0cg4JN6Pp+yoQrDwBDWWQfh4ltc20dWhZce6DBM4u+tlbh2hoaefHK2aYNwIxbEnPbCF8QynFkpwkPj1W0W8u6IAFBZvL06c/6R4E96VLsR9o83ntvfDUTHjhWijeC5c8Av/5OSx/kjXhKxwOa1jTscg3zymA3JSbxuGSOvYV1pgV57piaK7ttd3J8vqz+c15myE4HMbN8fPe+s/omDDCgi1nA1YHNh4sZcHERKLDfDu0OTMpkvL6Fupb2s0N6edB4S7TOcORPFt+c8YCCmypJpLj7JyM3HbBjlOVrN5RwDcunEDOmJjB3h3hY/4cpS7ESLM4O5m/b8vns/xqcrMSvP8Ae1fDoddt39iD4PvMEIisxaA7zCQ13WHyoHUHvLWyd7FfRyvUF8M1/wszbzIrdzZPbjhMYev5vEz3FdTNGw4P+6Ltq88Zx2P/OsDqHfnMmmyr9ak4CqlzO7dpae+goKqJ6+bYUldOfwpp8yA4dBD22D8sFkVGQqTTVI3jZfWcKG/gzkVZPt+XrM7V70amjYs1BYKbn4Yze00dQE/5W0zhZtJkCgqKAFNkKByTwLkf7R1WHlmzn3Fx4Xz7kuzB3h3hBw8um8z3Xt1HU9vZ4iLpmS2EdyyamIRFwaaj5b4JnDc+Bu09g+AW+Ojn5sMd1g449/bOb7XWbD9V5fDEGkbGVanY8BCumDGWdXuK+P55EwkDMwilS+CcV9GI1raOGi11JmBb/MCg7bO/ZCbaejk74MtpgT1lJJxtSWcCZ1uBYP5Wx4Fz3lZb4aaF/ErzOzwuXorhnZHAuR9//vQUh87U8fvb5hLl48srIjDYV4ye3HCYouomxsVH8OCyycN+JUkIf4iLDOGc9Hg+OlrG/UtzvP8ATjtbKLhrPagg09lBWWyfg0wOc72DQR62Yr+T5Q28tquA1/YUkl/ZhAIczcsbKVelbsxNZ82eIjYUR3CNJbhXnnO3VnT5W0Fbh3VhoF1GQhSfHKtAa90rpfPdA6VMTYntbMvoS/ZezqfsQXzMWIjPNMdi4b3dN26sNL24z7kZgIKqRsbEhhEWPDy7n3iDRIJ9KK5p4ql3jnDx5GSWTff9WaIIHCvmpEqgLISPLM5O5un3jlLT2Ob9DkVxaY7bxcWlQabj4rTtOfczY+cjRKizOaBNOpRXou7g5d98wp78aiwKFk1K4j8vy6Gt3coP/3VgxF6VWjghkdT4CF7aXcI1CROcBs5ZSVHw6WZzcpI2fzB21a8yEyNpauugrK6F0bFnV2yrGlrZcbqS+y6e5Jf9iAkPITEqlLyuA1nSz4OTm0zBa9eg3t5tI30BAAVVTaRLYWCfpDiwDz9+/SDtVs3/u0YKAoUQwluWZCdh1fDJcR+0pbv0UQjpsaoXEtFnx4vvHMjmuz2K/b7bdjePnJhGc1sHDy+fwubvXcqLXz2P685N4+b5GSN6kqvForgxN42Pj5XTFOc4cE6KDiUuIsQUBqacA2HRg7S3/pOR6Lgl3fuHS7Fq/6Rp2GUmRnKqvMt+pM83V1Wq87pvmLfFtKtLPRdAhp+4QFacnfjwSBlv7Cvmv5bmdL4YhBBCeG52ejwxYcF8dLSM5TNTvHvns24ynzc+ZtI24tJM0Gy/3YGi6iYKuYB1rRd0u10Bb31nicN/M9KvSl1/bhq/fPco+1tSmFf5LnS0QZC5emBvRUd7CxTsgPlfG+S99Y/OXs4Vjczrkr+/8WApo2PCmJka5799SYxi28nKszd05jlvg1GZZ2/P32ra1YVE0N5hpbimWVrR9cOjFWelVIJS6h2l1FHb514zJJVSs5VSm5VSnyul9iqlbvbkMf2hua2DH6zdz/ikKL5+4YTB3h0hhBhWgoMsnD8pkU1Hyk0/YG+bdRP85374YbX53EfQDM5zk0dKzvJApCdEsmhSIhtKY8DaDpUnO3920h44F+02hZkZwz+/GSBtVCQW1b2Xc2u7lQ+PlHHp1NFYfDQt0JHMxEiKappoabelE42eBqHR3QehtLeYNnW2oPpMbTMdVi0rzv3wNFVjJbBRa50NbLR931MjcLvWejpwOfBLpZSP5q16Zs3uQhateo8p33+LUxWNLJs+RhLkhRDCBxZnJ1NY3cSJcucDI/zla0vG97ptJOUsD9SNc9PZVmcb5lFuBkTVNbdRVtfC+KRo00sbRkzgHBpsISUuoluqxtaTFdS3tHOZH9M0wLSk05rOLhkEBZvOJ10D56I9thMbk99s31Za0fXN08D5WuB529fPAyt6bqC1PqK1Pmr7uggoBXw7NmcA1uwu5Huv7uvWZuj5T0/LmGUhhPCBJdm28dtHfDhF0AWt7VbW7ikiNEgxOiZsROYsD9TlM8ZSGpZuvrHlOdvzascnRcHpzZA8BaISB2sX/a7buGtMmkZ4iIVFk5L8uh+d+dYVPQoES/ZDS735Pt82+KSzMNDst6w4983THOcxWutiAK11sVJqdF8bK6XmA6HAcQ8f1+ue3HC4W4U0QFNbB0+OgIb2QgjhbxmJkWQlRvLR0XLuXNR7xddffrr+ILvzqvntl8/1fr71MBceEsSl50zizJ4EEkoOEwqcKDdB2YTEcLO6OeP6wd1JP8tMjGTD56Zns9aadw6UcMGkZMJD/Hv12j4E5VTXvtLp55nWgIU7YcKFpn9zwkSINiexBVVNKAUpcRI496XfFWel1LtKqf0OPq5154GUUinAi8BdWmuHs1aVUl9XSu1QSu0oK/PvKoSMWRZCCP9anJ3M5hMVtLb7aPx2P9buKeTPn57i7gvGS9A8QDfmpnPMmkJd/ueAWXFWCjLbT0FLrdMWgMNVRkIUlQ2t1DW3cbikjsLqJi6b2ueaok+MigwhJiy4W761GX6iTIGg1mbF2ZamAaajRkpsOKHB0nCtL/3+72itL9Naz3DwsRYosQXE9sC41NF9KKVigTeAR7TWW/p4rGe01rla69zkZP9mc0hxiBBC+Nfi7CQaWzvYebrK7499pKSOla/sY17WKL57xRS/P/5wcU5aHOURWUTUHgetOVlez7i4CMIKbX/qR0h+s11m4tnOGu8eMCvPlwxC4KyUIjMpsvuKc0Q8jJ5qrgRUHIPGirPdNjArztJRo3+enlasA+6wfX0HsLbnBkqpUOA14AWt9UsePp7PPLhsMhE9LqVIcYgQQvjOwomJBFsUHx317xXGuuY2vvniTqLCgvnNrecSEiQrbAOllCI5ayaRuomTJ49ysryBCclRkPcpxGVAfPpg76Jf2cdd51U28u7BUs5Jj2d0zOCMr85MiCKvR09p0udDwTY4/an5vsuJTWFVk+Q3u8DTd4tVwFKl1FFgqe17lFK5SqlnbdvcBCwB7lRK7bF9zPbwcb1uxZzUEd3QXggh/C0mPIRzM0bx0VEfDEJxQmvNQy/v5XRlI7+5dU63CW9iYKbPygVg89YtpodzYqQpDBwBY7Z7sq847zxdxZ78apYOwmpz133Jr2ykvaNLKlT6edBcA7tegIgESMoGoK3DSnFNE2nSUaNfHhUHaq0rgEsd3L4DuNv29V+Av3jyOP4y0hvaCyGEvy3OTuIX7x6hor6FxOgwnz/esx+d5M39Z/jv5VM5b8LI6fbgS/EZMwA4vH8HdR3L2L1nJ1A64tI0wJwMJkSFsnq7Gfvuz2mBPWUlRtFu1RTXNJ9tMddYYT4X7oDgcNj3Esy6ieLqZqxaOmq4Qq5PCSGEGDSLc5LRGj4+5vtV560nKlj11iGumDGWuxcPXieP4WbNsQ7qdQQTVBEAU9v2A/Bu48TB3K1BsWZ3IXXNbdS1tBOkFIeKawdtX+wt6U7ZCwT3rob3f3J2g/Zm+Ne3Ye9qaUXnBgmchRBCDJqZqXHER4b4PF2jtLaZ+/6+m8yESJ64YRZK+W+K23D35NtHOKbHMckWOM+3HKZCx/CDT9oGec/8yz4Poq3DTMPs0JqHX9s/aPMgerWk2/gYtPXoFNbWBBsfI98WOKdLcWC/JHAWQggxaIIsikWTkvjoaJlvxm9j8jfv/dsu6pvb+f1X5hITHuKTxxmpiqqbOK7HMdFiAud56hDbrVMoqmke5D3zr77mQQyG0TFhhAVbzrakqylwvGFNAQVVTQRZFClxkvPfHwmchRBCDKol2UmU1LZwpKTeJ/f/szcPsf1UFauun0nOmBifPMZINi4+gmPWVMaqKiaqQjItpWy3Th5x7VwDbR6ExaLITOzSki4uzfGGcWkUVDUxNjacYOkw0y/5HxJCCDGoLrCP3/ZBW7r1+4p59uOT3LEwk2tnS/G3Lzy4bDL5FhOU3RL0PgCfWaaNuHaugTgPIiMhijx74HzpoxDSY19CIuDSR8mvbCQ9YWSd6AyUBM5CCCEGVWp8BBOTo9jkpTznNbsLWbTqPcavfIN7/7qLzIQI/vvKaV65b9HbijmprFh6EQDXB22ikXC+suKqEdelKhDnQWQlRnK6sgGrVcOsm+DqX0NcOqDM56t/DbNukuEnbvCoHZ0QQgjhDUtykvnb1jya2zoI7xF8uMNeoNU117SktoX1+4pHXCDnT5fFmvzZBFUPwWFcG7IVyBzcnfIz++/XkxsOU1TdxLj4CB5cNnlQf+8yk6JobrNSWtfC2LhwEzzPuqnbNi3tHZTUNUtHDRdJ4CyEEGLQLclO5rlPTrH9VCWLbakbA+GoQKu53cqTGw5L4Owre1fDG/959vv2FtPmDHoFacNdoM2DyEywjwBvMIGzA0XVzWgtHTVcJakaQgghBt15ExIICVIet6ULtAKtEaGPNmdicNlb0p2uaHS6jfRwdo8EzkIIIQZdZGgwuZkJbDriWYFgIBZoDXt9tDkTg2tcfDjBFsXpygan2xRUmZMeGbftGgmchRBCBIQlOckcOlNHae3A+//eMLf3ZfLBLtAa9vpocyYGV3CQhbRREWdb0jmQX9lIsEUxNlZ6OLtCAmchhBABYXF2EsCA0zW01nx0tJyYsCBS4sJRmI4dj183M6DyToedPtqcicGXmdilJZ0DBVWmkDHIItM0XSHFgUIIIQLCtJRYEqNC+ehoGdfPdX+18q39Z9iVV83Prp/JzfMyfLCHwiF7AeDGx0x6RlyaCZpHWGFgoMpMjGRXXhVaa4ej5guqGiW/2Q0SOAshhAgIFoviguwkPj5WjtWqsbixAtbabmXVW4eYPCaGG+am+3AvhUMO2pyJwJCZGEVdcztVjW0kRIX2+nl+VROXTB49CHs2NEmqhhBCiICxJDuZ8vpWDhTXuvXv/rr1NKcrGlm5fIpcchaii64t6XpqbuugrK5FVpzdIIGzEEKIgDGQPOeapjZ+tfEoF0xK4qKcgfeAFmI4ykqyB86985wLq+0dNSRwdpUEzkIIIQLG6NhwpoyN4aOjrrel++0Hx6hpauN7y6c4zOEUYiRLGxWJUo4DZ3srOhl+4joJnIUQQgSUxdlJ7DhVRWNre7/bFlQ18twnp7huThrTx8X5Ye+EGFrCQ4JIiQ13mKqRX2kffiKBs6skcBZCCBFQluQk09phZeuJyn63/Z8Nh1HAA8tyfL9jQgxRmYlRnHIQOBdUNREaZGF0TNgg7NXQJIGzEEKIgDIvK4GwYAub+knX2FdQw5o9Rdy9eDwpcZKjKYQzmYmR5FU6StVoJHVUhFsdbEY6CZyFEEIElPCQIOaPT+izQFBrzU/WHyAxKpRvXjjRj3snxNCTmRhFeX0r9S3d05/yq5qko4abPAqclVIJSql3lFJHbZ9H9bFtrFKqUCn1tCePKYQQYvhbkp3MsdJ6imxV/z29d6iULScq+c5l2cSEh/h574QYWjITHbekK5ThJ27zdMV5JbBRa50NbLR978yPgA89fDwhhBAjwBJbWzlH3TXaO6z8dP1BJiRFcct8mRAoRH/OBs5n0zWaWjsor2+VwkA3eRo4Xws8b/v6eWCFo42UUnOBMcDbHj6eEEKIESBnTDSjY8LY5CBd45878jle1sB3r5hCSJBkHArRn8zEKKB74FxQZe+oISvO7vD0HWeM1roYwPa518xGpZQF+DnwoIePJYQQYoRQSrE4O5lPjpXTYdWdt9e3tPPUO0eYn5XAF6aNGcQ9FGLoiA4LJik6tFuqhr2Hs6w4u6ffwFkp9a5Sar+Dj2tdfIx7gPVa63wXHuvrSqkdSqkdZWWuN78XQggx/CzJSaK6sY39hTWdtz3z4XHK61t5+MqpMuxECDf0bElnX3FOl6mBbgnubwOt9WXOfqaUKlFKpWiti5VSKUCpg80WAouVUvcA0UCoUqpea90rH1pr/QzwDEBubq7u+XMhhBAjxwWTzPjtTUfKOCc9njM1zTzz0QmuPmccs9PjB3nvhBhaMhMi2XKiovP7/KomwoItJEdLD2d3eJqqsQ64w/b1HcDanhtorb+stc7QWmcBDwAvOAqahRBCiK4So8OYkRrb2ZbuF+8cxmqFh5ZNHuQ9E2LoyUyMori2mea2DuBsD2e5cuMeTwPnVcBSpdRRYKnte5RSuUqpZz3dOSGEECPbmNhwtp2qZPzKN1i9o4BFkxJIT5CcTCHclZkYidZnUzQKqppIl/xmt3kUOGutK7TWl2qts22fK22379Ba3+1g+z9rre/z5DGFEEKMDGt2F3auNttz9zafqGTN7sLB2ykhhih7S7pT5SZwzq+UHs4DIX18hBBCBKQnNxymtd3a7bbmNitPbjg8SHskxNBlb0l3qqKB+pZ2qhrbpKPGAEjgLIQQIiA5mxro7HYhhHOjIkOICQ8mr7KRQlsrOumo4T4JnIUQQgSkcfGO/6g7u10I4ZxSiqzEKE5VNJJfaR9+IivO7pLAWQghREB6cNlkIkKCut0WERLEg9JVQ4gByUiMJK+iQaYGekACZyGEEAFpxZxUHr9uJqnxESggNT6Cx6+byYo5qYO9a0IMSVmJkRRUNXGqopGIkCASo0IHe5eGnH4HoAghhBCDZcWcVAmUhfCSzIQo2q2arScrSZMezgMiK85CCCGEECOAvSXdweJaSdMYIAmchRBCCCFGgKykqM6vpTBwYCRwFkIIIYQYAUbHhBEeYkI/aUU3MBI4CyGEEEKMAGv3FNHeYeZw/v6D4zKFcwCh8w8KAAAF9klEQVQkcBZCCCGEGObW7C7ke6/uo91qAufKxja+9+o+CZ7dJIGzEEIIIcQw9+SGwzS1dXS7ramtQ0bYu0kCZyGEEEKIYU5G2HuHBM5CCCGEEMOcjLD3DgmchRBCCCGGORlh7x0yOVAIIYQQYpizT+B8csNhiqqbGBcfwYPLJstkTjdJ4CyEEEIIMQLICHvPSaqGEEIIIYQQLpDAWQghhBBCCBdI4CyEEEIIIYQLJHAWQgghhBDCBRI4CyGEEEII4QKltR7sfXBIKVUGnB7s/QhQSUD5YO+E6Jccp6FBjtPQIMdpaJDjNDTIceotU2ud3N9GARs4C+eUUju01rmDvR+ib3KchgY5TkODHKehQY7T0CDHaeAkVUMIIYQQQggXSOAshBBCCCGECyRwHpqeGewdEC6R4zQ0yHEaGuQ4DQ1ynIYGOU4DJDnOQgghhBBCuEBWnIUQQgghhHCBBM4BQCmVrpR6Xyl1UCn1uVLqP2y3Jyil3lFKHbV9HmW7XSmlfq2UOqaU2quUOtd2+2yl1GbbfexVSt08mM9ruPHWcepyf7FKqUKl1NOD8XyGK28eJ6VUhlLqbdt9HVBKZQ3Osxp+vHycnrDdx0HbNmqwntdwNIBjNcX2t6hFKfVAj/u6XCl12HYcVw7G8xmOvHWMnN2P6EJrLR+D/AGkAOfavo4BjgDTgCeAlbbbVwI/s329HHgTUMACYKvt9hwg2/b1OKAYiB/s5zdcPrx1nLrc36+AvwFPD/ZzG04f3jxOwAfAUtvX0UDkYD+/4fLhxfe984FPgCDbx2bgosF+fsPpYwDHajQwD/gJ8ECX+wkCjgMTgFDgM2DaYD+/4fDhxWPk8H4G+/kF0oesOAcArXWx1nqX7es64CCQClwLPG/b7Hlghe3ra4EXtLEFiFdKpWitj2itj9rupwgoBfpt5i1c463jBKCUmguMAd7241MYEbx1nJRS04BgrfU7tvuq11o3+vO5DGdefD1pIBwTiIUBIUCJ357ICODusdJal2qttwNtPe5qPnBMa31Ca90K/MN2H8JD3jpGfdyPsJHAOcDYLgXPAbYCY7TWxWB+mTFniGB+ifO7/LMCevxiK6XmY/6QHPftHo9MnhwnpZQF+DnwoL/2d6Ty8PWUA1QrpV5VSu1WSj2plAry176PJJ4cJ631ZuB9zBW2YmCD1vqgf/Z85HHxWDnT798u4TkPj5Gz+xE2EjgHEKVUNPAK8B2tdW1fmzq4rbM9im0V5kXgLq211bt7KbxwnO4B1mut8x38XHiJF45TMLAYeABzSXMCcKeXd3PE8/Q4KaUmAVOBNEwQdolSaon391S4cayc3oWD26S1lxd54Rh59X6GIwmcA4RSKgTzS/pXrfWrtptLulzaT8GkXoA5S0/v8s/TgCLbdrHAG8AjtsuZwou8dJwWAvcppU4B/wPcrpRa5YfdHzG8dJwKgN22y8rtwBqgW4Gn8IyXjtMXgS22VJp6TB70An/s/0ji5rFyxunfLuE5Lx0jZ/cjbCRwDgC2CvA/Age11r/o8qN1wB22r+8A1na5/XZblfkCoEZrXayUCgVew+QBvuSn3R8xvHWctNZf1lpnaK2zMKuZL2itpbrcS7x1nIDtwCillL1O4BLggM+fwAjhxeOUB1yolAq2/cG/EJOXKbxkAMfKme1AtlJqvO3v1S22+xAe8tYx6uN+hI0MQAkASqkLgI+AfYA9teJhTF7RaiAD88fhRq11pe0X+2ngcqARk5KxQyl1G/Ac8HmXu79Ta73HP89kePPWcepxn3cCuVrr+/zyJEYAbx4npdRSTD66AnYCX7cVNQkPefF9Lwj4LbAEc9n/La31/X59MsPcAI7VWGAHEGvbvh7TmaFWKbUc+CWmw8aftNY/8euTGaa8dYyAWY7uR2u93k9PJeBJ4CyEEEIIIYQLJFVDCCGEEEIIF0jgLIQQQgghhAskcBZCCCGEEMIFEjgLIYQQQgjhAgmchRBCCCGEcIEEzkIIIYQQQrhAAmchhBBCCCFcIIGzEEIIIYQQLvj/vhjzowQphYkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#com+ add your code here to fit an ARMA model\n",
    "arma_model = tsa.ARMA(time_series, order=(3,3))\n",
    "arma_result = arma_model.fit()\n",
    "predictions_arma = arma_result.predict(start=3)\n",
    "\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(time_series, '-o', label='true')\n",
    "# plt.plot(predictions_tsa, '-o', label='label_tsa')\n",
    "# plt.plot(predictions_lr, '-o', label='model_lr')\n",
    "plt.plot(predictions_arma, '-o', label='model_arma')\n",
    "plt.legend(fontsize=12);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE = 0.127\n"
     ]
    }
   ],
   "source": [
    "#com+ add your code here to show the MAE\n",
    "print('MAE = {0:.3f}'.format(mean_absolute_error(time_series[3:], predictions_arma)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Forecasting\n",
    "\n",
    "Until now we have tuned the model to *fit* the time series. \n",
    "This makes us able to find a description of the data, but doesn't give forecast.\n",
    "\n",
    "**Note**: forecasting with time series data is **tricky** and usually basic methods do not really provide very good results (especially on realistic data). ARMA models are nice because they are simple but do not expect fantastic performances. (On the other hand, predicting the future is hard! -- who would have thought).\n",
    "\n",
    "* Separate the time series into a training set and a test set formed of the last 8 points. \n",
    "* Fit an AR model on the training data and try to find the optimal lag using the `BIC` criterion\n",
    "* fit the model, predict and show the prediction on the original time series. Did it do a good job? \n",
    "* compute the MAE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Out of sample MAE = 0.273\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#com+ your code here\n",
    "train = time_series[:-8]\n",
    "test = time_series[-8:]\n",
    "\n",
    "ar = tsa.AR(train)\n",
    "optlag = ar.select_order(10, ic='bic', method='mle')\n",
    "arfit = ar.fit(maxlag=optlag)\n",
    "\n",
    "prediction = arfit.predict(end=len(time_series))[-len(test):]\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(time_series.values, '-o', label=\"original data\")\n",
    "plt.plot(prediction, '--o', label='prediction')\n",
    "\n",
    "plt.legend(fontsize=12)\n",
    "\n",
    "print('Out of sample MAE = {0:.3f}'.format(mean_absolute_error(test, prediction)))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h2>Cross-Validation for Time Series Forecasting (demo) </h2>\n",
    "\n",
    "In this procedure, there is a series of test sets, each consisting of a single observation. The corresponding training set consists only of observations that occurred prior to the observation that forms the test set. Thus, no future observations can be used in constructing the forecast. \n",
    "\n",
    "Let's build a diagram to illustrate the procedure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_size = 4\n",
    "\n",
    "plt.figure(figsize=(15, 10))\n",
    "for i, split in enumerate(range(len(time_series)-test_size, len(time_series))):\n",
    "    plt.subplot(test_size, 1, i+1)\n",
    "    plt.plot(time_series.values[:-test_size+i], \n",
    "             '-o', label='train set at fold %d' % (i+1))\n",
    "    plt.plot(range(len(time_series)-test_size-1+i, len(time_series)), \n",
    "             time_series.values[-test_size-1+i:], \n",
    "             '--', color='gray', label='remaining data')\n",
    "    plt.plot(split, time_series.values[split], \n",
    "             'o', label='test point at fold %d' % (i+1))\n",
    "    plt.xlim([0, len(time_series)])\n",
    "    plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now implement the cross-validation training and testing the autoregressive model at each step:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/anaconda3/envs/cspark/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n"
     ]
    }
   ],
   "source": [
    "start_split = 4*8\n",
    "predictions = []\n",
    "\n",
    "for split in range(start_split, len(time_series)):\n",
    "    train = time_series[:split]\n",
    "    test = time_series[split:]\n",
    "    ar = tsa.AR(train)\n",
    "    ar_result = ar.fit(maxlag=4)\n",
    "    prediction = ar_result.predict(end=len(time_series))[-len(test):]\n",
    "    predictions.append(prediction.values[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "len(predictions), len(time_series)-start_split\n",
    "plt.plot(time_series.values, '-o', label='true')\n",
    "plt.plot(range(start_split, len(time_series)), predictions, \n",
    "         '-o', label='out of sample prediction')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.331908842109612\n"
     ]
    }
   ],
   "source": [
    "print(mean_absolute_error(time_series.values[start_split:], predictions))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wrap up\n",
    "- Using lags of the target variable as feature one can build an autoregressive model\n",
    "- Adding moving average terms and differencing lead to ARIMA\n",
    "- The order of the ARIMA models can be hard to tune\n",
    "- Time series models can be used to describe the data and make forecast\n",
    "- Cross validation can be used to estimate the error of the forecast"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
